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Finding the Fourth Proportional to 10,387.40, 14,332.92 and 6,410.12

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Solution

The fourth proportional to 10,387.40, 14,332.92 and 6,410.12 is: 8,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.40 : 14,332.92 = 6,410.12 : x
  2. Step 2: Convert to fraction form
    10,387.40/14,332.92 = 6,410.12/x
  3. Step 3: Cross multiply
    10,387.40x = 14,332.92 × 6,410.12
  4. Step 4: Simplify right side
    10,387.40x = 91,875,737.15
  5. Step 5: Solve for x
    x = 91,875,737.15/10,387.40
  6. Step 6: Final answer
    x = 8,844.92

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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.