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Finding the Fourth Proportional to 8,567.42, 12,842.37 and 4,861.82

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Solution

The fourth proportional to 8,567.42, 12,842.37 and 4,861.82 is: 7,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.42 : 12,842.37 = 4,861.82 : x
  2. Step 2: Convert to fraction form
    8,567.42/12,842.37 = 4,861.82/x
  3. Step 3: Cross multiply
    8,567.42x = 12,842.37 × 4,861.82
  4. Step 4: Simplify right side
    8,567.42x = 62,437,227.10
  5. Step 5: Solve for x
    x = 62,437,227.10/8,567.42
  6. Step 6: Final answer
    x = 7,287.76

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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.