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Finding the Fourth Proportional to 8,151.32, 12,221.91 and 3,763.14

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Solution

The fourth proportional to 8,151.32, 12,221.91 and 3,763.14 is: 5,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.32 : 12,221.91 = 3,763.14 : x
  2. Step 2: Convert to fraction form
    8,151.32/12,221.91 = 3,763.14/x
  3. Step 3: Cross multiply
    8,151.32x = 12,221.91 × 3,763.14
  4. Step 4: Simplify right side
    8,151.32x = 45,992,758.40
  5. Step 5: Solve for x
    x = 45,992,758.40/8,151.32
  6. Step 6: Final answer
    x = 5,642.37

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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.