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Finding the Fourth Proportional to 10,451.49, 15,695.57 and 8,114.13

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Solution

The fourth proportional to 10,451.49, 15,695.57 and 8,114.13 is: 12,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.49 : 15,695.57 = 8,114.13 : x
  2. Step 2: Convert to fraction form
    10,451.49/15,695.57 = 8,114.13/x
  3. Step 3: Cross multiply
    10,451.49x = 15,695.57 × 8,114.13
  4. Step 4: Simplify right side
    10,451.49x = 127,355,854.83
  5. Step 5: Solve for x
    x = 127,355,854.83/10,451.49
  6. Step 6: Final answer
    x = 12,185.43

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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.