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Finding the Fourth Proportional to 10,640.80, 14,687.85 and 6,169.06

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Solution

The fourth proportional to 10,640.80, 14,687.85 and 6,169.06 is: 8,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.80 : 14,687.85 = 6,169.06 : x
  2. Step 2: Convert to fraction form
    10,640.80/14,687.85 = 6,169.06/x
  3. Step 3: Cross multiply
    10,640.80x = 14,687.85 × 6,169.06
  4. Step 4: Simplify right side
    10,640.80x = 90,610,227.92
  5. Step 5: Solve for x
    x = 90,610,227.92/10,640.80
  6. Step 6: Final answer
    x = 8,515.36

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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.