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Finding the Fourth Proportional to 10,399.28, 14,352 and 5,924.12

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Solution

The fourth proportional to 10,399.28, 14,352 and 5,924.12 is: 8,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.28 : 14,352 = 5,924.12 : x
  2. Step 2: Convert to fraction form
    10,399.28/14,352 = 5,924.12/x
  3. Step 3: Cross multiply
    10,399.28x = 14,352 × 5,924.12
  4. Step 4: Simplify right side
    10,399.28x = 85,022,970.24
  5. Step 5: Solve for x
    x = 85,022,970.24/10,399.28
  6. Step 6: Final answer
    x = 8,175.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.