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Finding the Fourth Proportional to 8,151.54, 12,225.90 and 2,306.76

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Solution

The fourth proportional to 8,151.54, 12,225.90 and 2,306.76 is: 3,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.54 : 12,225.90 = 2,306.76 : x
  2. Step 2: Convert to fraction form
    8,151.54/12,225.90 = 2,306.76/x
  3. Step 3: Cross multiply
    8,151.54x = 12,225.90 × 2,306.76
  4. Step 4: Simplify right side
    8,151.54x = 28,202,217.08
  5. Step 5: Solve for x
    x = 28,202,217.08/8,151.54
  6. Step 6: Final answer
    x = 3,459.74

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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.