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Finding the Fourth Proportional to 8,515.60, 12,773.40 and 8,342.80

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Solution

The fourth proportional to 8,515.60, 12,773.40 and 8,342.80 is: 12,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.60 : 12,773.40 = 8,342.80 : x
  2. Step 2: Convert to fraction form
    8,515.60/12,773.40 = 8,342.80/x
  3. Step 3: Cross multiply
    8,515.60x = 12,773.40 × 8,342.80
  4. Step 4: Simplify right side
    8,515.60x = 106,565,921.52
  5. Step 5: Solve for x
    x = 106,565,921.52/8,515.60
  6. Step 6: Final answer
    x = 12,514.20

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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.