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Finding the Fourth Proportional to 8,294.07, 12,442.32 and 2,449.92

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Solution

The fourth proportional to 8,294.07, 12,442.32 and 2,449.92 is: 3,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.07 : 12,442.32 = 2,449.92 : x
  2. Step 2: Convert to fraction form
    8,294.07/12,442.32 = 2,449.92/x
  3. Step 3: Cross multiply
    8,294.07x = 12,442.32 × 2,449.92
  4. Step 4: Simplify right side
    8,294.07x = 30,482,688.61
  5. Step 5: Solve for x
    x = 30,482,688.61/8,294.07
  6. Step 6: Final answer
    x = 3,675.24

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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.