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Finding the Fourth Proportional to 10,767.12, 14,866.92 and 8,680.56

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Solution

The fourth proportional to 10,767.12, 14,866.92 and 8,680.56 is: 11,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.12 : 14,866.92 = 8,680.56 : x
  2. Step 2: Convert to fraction form
    10,767.12/14,866.92 = 8,680.56/x
  3. Step 3: Cross multiply
    10,767.12x = 14,866.92 × 8,680.56
  4. Step 4: Simplify right side
    10,767.12x = 129,053,191.08
  5. Step 5: Solve for x
    x = 129,053,191.08/10,767.12
  6. Step 6: Final answer
    x = 11,985.86

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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.