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Finding the Fourth Proportional to 10,614.92, 14,644.68 and 6,366.08

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Solution

The fourth proportional to 10,614.92, 14,644.68 and 6,366.08 is: 8,782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.92 : 14,644.68 = 6,366.08 : x
  2. Step 2: Convert to fraction form
    10,614.92/14,644.68 = 6,366.08/x
  3. Step 3: Cross multiply
    10,614.92x = 14,644.68 × 6,366.08
  4. Step 4: Simplify right side
    10,614.92x = 93,229,204.45
  5. Step 5: Solve for x
    x = 93,229,204.45/10,614.92
  6. Step 6: Final answer
    x = 8,782.85

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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.