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Finding the Fourth Proportional to 8,258.98, 12,387.12 and 2,414.23

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Solution

The fourth proportional to 8,258.98, 12,387.12 and 2,414.23 is: 3,620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.98 : 12,387.12 = 2,414.23 : x
  2. Step 2: Convert to fraction form
    8,258.98/12,387.12 = 2,414.23/x
  3. Step 3: Cross multiply
    8,258.98x = 12,387.12 × 2,414.23
  4. Step 4: Simplify right side
    8,258.98x = 29,905,356.72
  5. Step 5: Solve for x
    x = 29,905,356.72/8,258.98
  6. Step 6: Final answer
    x = 3,620.95

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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.