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Finding the Fourth Proportional to 8,151.32, 12,229.61 and 3,218.22

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Solution

The fourth proportional to 8,151.32, 12,229.61 and 3,218.22 is: 4,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.32 : 12,229.61 = 3,218.22 : x
  2. Step 2: Convert to fraction form
    8,151.32/12,229.61 = 3,218.22/x
  3. Step 3: Cross multiply
    8,151.32x = 12,229.61 × 3,218.22
  4. Step 4: Simplify right side
    8,151.32x = 39,357,559.40
  5. Step 5: Solve for x
    x = 39,357,559.40/8,151.32
  6. Step 6: Final answer
    x = 4,828.37

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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.