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Finding the Fourth Proportional to 8,498.46, 12,747.81 and 2,258.58

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Solution

The fourth proportional to 8,498.46, 12,747.81 and 2,258.58 is: 3,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.46 : 12,747.81 = 2,258.58 : x
  2. Step 2: Convert to fraction form
    8,498.46/12,747.81 = 2,258.58/x
  3. Step 3: Cross multiply
    8,498.46x = 12,747.81 × 2,258.58
  4. Step 4: Simplify right side
    8,498.46x = 28,791,948.71
  5. Step 5: Solve for x
    x = 28,791,948.71/8,498.46
  6. Step 6: Final answer
    x = 3,387.90

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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.