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Finding the Fourth Proportional to 8,713.64, 13,038.17 and 5,205.56

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Solution

The fourth proportional to 8,713.64, 13,038.17 and 5,205.56 is: 7,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.64 : 13,038.17 = 5,205.56 : x
  2. Step 2: Convert to fraction form
    8,713.64/13,038.17 = 5,205.56/x
  3. Step 3: Cross multiply
    8,713.64x = 13,038.17 × 5,205.56
  4. Step 4: Simplify right side
    8,713.64x = 67,870,921.68
  5. Step 5: Solve for x
    x = 67,870,921.68/8,713.64
  6. Step 6: Final answer
    x = 7,789.04

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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.