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Finding the Fourth Proportional to 8,232.47, 12,348.89 and 2,967.91

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Solution

The fourth proportional to 8,232.47, 12,348.89 and 2,967.91 is: 4,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.47 : 12,348.89 = 2,967.91 : x
  2. Step 2: Convert to fraction form
    8,232.47/12,348.89 = 2,967.91/x
  3. Step 3: Cross multiply
    8,232.47x = 12,348.89 × 2,967.91
  4. Step 4: Simplify right side
    8,232.47x = 36,650,359.54
  5. Step 5: Solve for x
    x = 36,650,359.54/8,232.47
  6. Step 6: Final answer
    x = 4,451.93

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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.