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Finding the Fourth Proportional to 11,616.87, 17,414.14 and 3,715.05

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Solution

The fourth proportional to 11,616.87, 17,414.14 and 3,715.05 is: 5,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.87 : 17,414.14 = 3,715.05 : x
  2. Step 2: Convert to fraction form
    11,616.87/17,414.14 = 3,715.05/x
  3. Step 3: Cross multiply
    11,616.87x = 17,414.14 × 3,715.05
  4. Step 4: Simplify right side
    11,616.87x = 64,694,400.81
  5. Step 5: Solve for x
    x = 64,694,400.81/11,616.87
  6. Step 6: Final answer
    x = 5,569.00

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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.