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Finding the Fourth Proportional to 8,171.25, 12,254.76 and 3,488.91

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Solution

The fourth proportional to 8,171.25, 12,254.76 and 3,488.91 is: 5,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.25 : 12,254.76 = 3,488.91 : x
  2. Step 2: Convert to fraction form
    8,171.25/12,254.76 = 3,488.91/x
  3. Step 3: Cross multiply
    8,171.25x = 12,254.76 × 3,488.91
  4. Step 4: Simplify right side
    8,171.25x = 42,755,754.71
  5. Step 5: Solve for x
    x = 42,755,754.71/8,171.25
  6. Step 6: Final answer
    x = 5,232.46

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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.