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Finding the Fourth Proportional to 8,616.60, 12,931.38 and 5,836.68

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Solution

The fourth proportional to 8,616.60, 12,931.38 and 5,836.68 is: 8,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.60 : 12,931.38 = 5,836.68 : x
  2. Step 2: Convert to fraction form
    8,616.60/12,931.38 = 5,836.68/x
  3. Step 3: Cross multiply
    8,616.60x = 12,931.38 × 5,836.68
  4. Step 4: Simplify right side
    8,616.60x = 75,476,327.02
  5. Step 5: Solve for x
    x = 75,476,327.02/8,616.60
  6. Step 6: Final answer
    x = 8,759.41

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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.