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Finding the Fourth Proportional to 8,418.47, 12,627.74 and 2,575.07

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Solution

The fourth proportional to 8,418.47, 12,627.74 and 2,575.07 is: 3,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.47 : 12,627.74 = 2,575.07 : x
  2. Step 2: Convert to fraction form
    8,418.47/12,627.74 = 2,575.07/x
  3. Step 3: Cross multiply
    8,418.47x = 12,627.74 × 2,575.07
  4. Step 4: Simplify right side
    8,418.47x = 32,517,314.44
  5. Step 5: Solve for x
    x = 32,517,314.44/8,418.47
  6. Step 6: Final answer
    x = 3,862.62

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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.