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Finding the Fourth Proportional to 10,344.24, 15,493.68 and 7,428.24

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Solution

The fourth proportional to 10,344.24, 15,493.68 and 7,428.24 is: 11,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.24 : 15,493.68 = 7,428.24 : x
  2. Step 2: Convert to fraction form
    10,344.24/15,493.68 = 7,428.24/x
  3. Step 3: Cross multiply
    10,344.24x = 15,493.68 × 7,428.24
  4. Step 4: Simplify right side
    10,344.24x = 115,090,773.52
  5. Step 5: Solve for x
    x = 115,090,773.52/10,344.24
  6. Step 6: Final answer
    x = 11,126.07

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