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Finding the Fourth Proportional to 7,797,742.24, 11,696,613.36 and 5,137,728.16

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Solution

The fourth proportional to 7,797,742.24, 11,696,613.36 and 5,137,728.16 is: 7,706,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797,742.24 : 11,696,613.36 = 5,137,728.16 : x
  2. Step 2: Convert to fraction form
    7,797,742.24/11,696,613.36 = 5,137,728.16/x
  3. Step 3: Cross multiply
    7,797,742.24x = 11,696,613.36 × 5,137,728.16
  4. Step 4: Simplify right side
    7,797,742.24x = 60,094,019,836,304.22
  5. Step 5: Solve for x
    x = 60,094,019,836,304.22/7,797,742.24
  6. Step 6: Final answer
    x = 7,706,592.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.