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Finding the Fourth Proportional to 10,941.66, 16,414.50 and 3,545.94

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Solution

The fourth proportional to 10,941.66, 16,414.50 and 3,545.94 is: 5,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.66 : 16,414.50 = 3,545.94 : x
  2. Step 2: Convert to fraction form
    10,941.66/16,414.50 = 3,545.94/x
  3. Step 3: Cross multiply
    10,941.66x = 16,414.50 × 3,545.94
  4. Step 4: Simplify right side
    10,941.66x = 58,204,832.13
  5. Step 5: Solve for x
    x = 58,204,832.13/10,941.66
  6. Step 6: Final answer
    x = 5,319.56

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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.