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Finding the Fourth Proportional to 10,402.53, 15,610.17 and 6,243.58

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Solution

The fourth proportional to 10,402.53, 15,610.17 and 6,243.58 is: 9,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.53 : 15,610.17 = 6,243.58 : x
  2. Step 2: Convert to fraction form
    10,402.53/15,610.17 = 6,243.58/x
  3. Step 3: Cross multiply
    10,402.53x = 15,610.17 × 6,243.58
  4. Step 4: Simplify right side
    10,402.53x = 97,463,353.01
  5. Step 5: Solve for x
    x = 97,463,353.01/10,402.53
  6. Step 6: Final answer
    x = 9,369.20

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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.