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Finding the Fourth Proportional to 8,264.32, 12,394.46 and 3,331.42

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Solution

The fourth proportional to 8,264.32, 12,394.46 and 3,331.42 is: 4,996.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.32 : 12,394.46 = 3,331.42 : x
  2. Step 2: Convert to fraction form
    8,264.32/12,394.46 = 3,331.42/x
  3. Step 3: Cross multiply
    8,264.32x = 12,394.46 × 3,331.42
  4. Step 4: Simplify right side
    8,264.32x = 41,291,151.93
  5. Step 5: Solve for x
    x = 41,291,151.93/8,264.32
  6. Step 6: Final answer
    x = 4,996.32

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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.