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Finding the Fourth Proportional to 8,617.25, 12,925.89 and 2,461.25

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Solution

The fourth proportional to 8,617.25, 12,925.89 and 2,461.25 is: 3,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.25 : 12,925.89 = 2,461.25 : x
  2. Step 2: Convert to fraction form
    8,617.25/12,925.89 = 2,461.25/x
  3. Step 3: Cross multiply
    8,617.25x = 12,925.89 × 2,461.25
  4. Step 4: Simplify right side
    8,617.25x = 31,813,846.76
  5. Step 5: Solve for x
    x = 31,813,846.76/8,617.25
  6. Step 6: Final answer
    x = 3,691.88

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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.