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Finding the Fourth Proportional to 10,337.99, 15,509.13 and 5,406.29

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Solution

The fourth proportional to 10,337.99, 15,509.13 and 5,406.29 is: 8,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.99 : 15,509.13 = 5,406.29 : x
  2. Step 2: Convert to fraction form
    10,337.99/15,509.13 = 5,406.29/x
  3. Step 3: Cross multiply
    10,337.99x = 15,509.13 × 5,406.29
  4. Step 4: Simplify right side
    10,337.99x = 83,846,854.43
  5. Step 5: Solve for x
    x = 83,846,854.43/10,337.99
  6. Step 6: Final answer
    x = 8,110.56

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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.