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Finding the Fourth Proportional to 8,159.48, 12,227.78 and 3,473.15

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Solution

The fourth proportional to 8,159.48, 12,227.78 and 3,473.15 is: 5,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.48 : 12,227.78 = 3,473.15 : x
  2. Step 2: Convert to fraction form
    8,159.48/12,227.78 = 3,473.15/x
  3. Step 3: Cross multiply
    8,159.48x = 12,227.78 × 3,473.15
  4. Step 4: Simplify right side
    8,159.48x = 42,468,953.36
  5. Step 5: Solve for x
    x = 42,468,953.36/8,159.48
  6. Step 6: Final answer
    x = 5,204.86

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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.