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Finding the Fourth Proportional to 7,965.84, 10,996.44 and 5,452.02

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Solution

The fourth proportional to 7,965.84, 10,996.44 and 5,452.02 is: 7,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.84 : 10,996.44 = 5,452.02 : x
  2. Step 2: Convert to fraction form
    7,965.84/10,996.44 = 5,452.02/x
  3. Step 3: Cross multiply
    7,965.84x = 10,996.44 × 5,452.02
  4. Step 4: Simplify right side
    7,965.84x = 59,952,810.81
  5. Step 5: Solve for x
    x = 59,952,810.81/7,965.84
  6. Step 6: Final answer
    x = 7,526.24

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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.