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Finding the Fourth Proportional to 8,151.72, 12,228.10 and 2,308.78

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Solution

The fourth proportional to 8,151.72, 12,228.10 and 2,308.78 is: 3,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.72 : 12,228.10 = 2,308.78 : x
  2. Step 2: Convert to fraction form
    8,151.72/12,228.10 = 2,308.78/x
  3. Step 3: Cross multiply
    8,151.72x = 12,228.10 × 2,308.78
  4. Step 4: Simplify right side
    8,151.72x = 28,231,992.72
  5. Step 5: Solve for x
    x = 28,231,992.72/8,151.72
  6. Step 6: Final answer
    x = 3,463.32

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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.