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Finding the Fourth Proportional to 8,542.85, 11,789.12 and 4,766.02

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Solution

The fourth proportional to 8,542.85, 11,789.12 and 4,766.02 is: 6,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.85 : 11,789.12 = 4,766.02 : x
  2. Step 2: Convert to fraction form
    8,542.85/11,789.12 = 4,766.02/x
  3. Step 3: Cross multiply
    8,542.85x = 11,789.12 × 4,766.02
  4. Step 4: Simplify right side
    8,542.85x = 56,187,181.70
  5. Step 5: Solve for x
    x = 56,187,181.70/8,542.85
  6. Step 6: Final answer
    x = 6,577.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.