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Finding the Fourth Proportional to 10,780.80, 16,134.72 and 8,012.16

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Solution

The fourth proportional to 10,780.80, 16,134.72 and 8,012.16 is: 11,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.80 : 16,134.72 = 8,012.16 : x
  2. Step 2: Convert to fraction form
    10,780.80/16,134.72 = 8,012.16/x
  3. Step 3: Cross multiply
    10,780.80x = 16,134.72 × 8,012.16
  4. Step 4: Simplify right side
    10,780.80x = 129,273,958.20
  5. Step 5: Solve for x
    x = 129,273,958.20/10,780.80
  6. Step 6: Final answer
    x = 11,991.13

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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.