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Finding the Fourth Proportional to 8,447.29, 12,672.75 and 2,524.65

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Solution

The fourth proportional to 8,447.29, 12,672.75 and 2,524.65 is: 3,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.29 : 12,672.75 = 2,524.65 : x
  2. Step 2: Convert to fraction form
    8,447.29/12,672.75 = 2,524.65/x
  3. Step 3: Cross multiply
    8,447.29x = 12,672.75 × 2,524.65
  4. Step 4: Simplify right side
    8,447.29x = 31,994,258.29
  5. Step 5: Solve for x
    x = 31,994,258.29/8,447.29
  6. Step 6: Final answer
    x = 3,787.52

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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.