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Finding the Fourth Proportional to 8,639.64, 12,896.37 and 7,414.92

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Solution

The fourth proportional to 8,639.64, 12,896.37 and 7,414.92 is: 11,068.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.64 : 12,896.37 = 7,414.92 : x
  2. Step 2: Convert to fraction form
    8,639.64/12,896.37 = 7,414.92/x
  3. Step 3: Cross multiply
    8,639.64x = 12,896.37 × 7,414.92
  4. Step 4: Simplify right side
    8,639.64x = 95,625,551.84
  5. Step 5: Solve for x
    x = 95,625,551.84/8,639.64
  6. Step 6: Final answer
    x = 11,068.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.