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Finding the Fourth Proportional to 10,640.57, 14,687.19 and 6,165.41

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Solution

The fourth proportional to 10,640.57, 14,687.19 and 6,165.41 is: 8,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.57 : 14,687.19 = 6,165.41 : x
  2. Step 2: Convert to fraction form
    10,640.57/14,687.19 = 6,165.41/x
  3. Step 3: Cross multiply
    10,640.57x = 14,687.19 × 6,165.41
  4. Step 4: Simplify right side
    10,640.57x = 90,552,474.66
  5. Step 5: Solve for x
    x = 90,552,474.66/10,640.57
  6. Step 6: Final answer
    x = 8,510.12

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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.