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Finding the Fourth Proportional to 8,122.55, 12,182.46 and 2,861.47

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Solution

The fourth proportional to 8,122.55, 12,182.46 and 2,861.47 is: 4,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.55 : 12,182.46 = 2,861.47 : x
  2. Step 2: Convert to fraction form
    8,122.55/12,182.46 = 2,861.47/x
  3. Step 3: Cross multiply
    8,122.55x = 12,182.46 × 2,861.47
  4. Step 4: Simplify right side
    8,122.55x = 34,859,743.82
  5. Step 5: Solve for x
    x = 34,859,743.82/8,122.55
  6. Step 6: Final answer
    x = 4,291.72

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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.