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Finding the Fourth Proportional to 8,145.60, 12,218.40 and 5,193.15

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Solution

The fourth proportional to 8,145.60, 12,218.40 and 5,193.15 is: 7,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.60 : 12,218.40 = 5,193.15 : x
  2. Step 2: Convert to fraction form
    8,145.60/12,218.40 = 5,193.15/x
  3. Step 3: Cross multiply
    8,145.60x = 12,218.40 × 5,193.15
  4. Step 4: Simplify right side
    8,145.60x = 63,451,983.96
  5. Step 5: Solve for x
    x = 63,451,983.96/8,145.60
  6. Step 6: Final answer
    x = 7,789.73

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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.