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Finding the Fourth Proportional to 11,479.40, 15,839.12 and 7,506.34

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Solution

The fourth proportional to 11,479.40, 15,839.12 and 7,506.34 is: 10,357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.40 : 15,839.12 = 7,506.34 : x
  2. Step 2: Convert to fraction form
    11,479.40/15,839.12 = 7,506.34/x
  3. Step 3: Cross multiply
    11,479.40x = 15,839.12 × 7,506.34
  4. Step 4: Simplify right side
    11,479.40x = 118,893,820.02
  5. Step 5: Solve for x
    x = 118,893,820.02/11,479.40
  6. Step 6: Final answer
    x = 10,357.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.