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Finding the Fourth Proportional to 8,414.15, 12,621.22 and 2,258.15

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Solution

The fourth proportional to 8,414.15, 12,621.22 and 2,258.15 is: 3,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.15 : 12,621.22 = 2,258.15 : x
  2. Step 2: Convert to fraction form
    8,414.15/12,621.22 = 2,258.15/x
  3. Step 3: Cross multiply
    8,414.15x = 12,621.22 × 2,258.15
  4. Step 4: Simplify right side
    8,414.15x = 28,500,597.81
  5. Step 5: Solve for x
    x = 28,500,597.81/8,414.15
  6. Step 6: Final answer
    x = 3,387.22

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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.