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Finding the Fourth Proportional to 8,221.60, 12,330.40 and 2,377.60

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Solution

The fourth proportional to 8,221.60, 12,330.40 and 2,377.60 is: 3,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.60 : 12,330.40 = 2,377.60 : x
  2. Step 2: Convert to fraction form
    8,221.60/12,330.40 = 2,377.60/x
  3. Step 3: Cross multiply
    8,221.60x = 12,330.40 × 2,377.60
  4. Step 4: Simplify right side
    8,221.60x = 29,316,759.04
  5. Step 5: Solve for x
    x = 29,316,759.04/8,221.60
  6. Step 6: Final answer
    x = 3,565.82

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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.