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Finding the Fourth Proportional to 8,542.60, 12,811.50 and 4,160.20

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Solution

The fourth proportional to 8,542.60, 12,811.50 and 4,160.20 is: 6,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.60 : 12,811.50 = 4,160.20 : x
  2. Step 2: Convert to fraction form
    8,542.60/12,811.50 = 4,160.20/x
  3. Step 3: Cross multiply
    8,542.60x = 12,811.50 × 4,160.20
  4. Step 4: Simplify right side
    8,542.60x = 53,298,402.30
  5. Step 5: Solve for x
    x = 53,298,402.30/8,542.60
  6. Step 6: Final answer
    x = 6,239.13

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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.