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Finding the Fourth Proportional to 10,499.52, 15,710.94 and 6,324.24

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Solution

The fourth proportional to 10,499.52, 15,710.94 and 6,324.24 is: 9,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.52 : 15,710.94 = 6,324.24 : x
  2. Step 2: Convert to fraction form
    10,499.52/15,710.94 = 6,324.24/x
  3. Step 3: Cross multiply
    10,499.52x = 15,710.94 × 6,324.24
  4. Step 4: Simplify right side
    10,499.52x = 99,359,755.19
  5. Step 5: Solve for x
    x = 99,359,755.19/10,499.52
  6. Step 6: Final answer
    x = 9,463.27

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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.