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Finding the Fourth Proportional to 8,461.31, 12,693.18 and 2,618.42

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Solution

The fourth proportional to 8,461.31, 12,693.18 and 2,618.42 is: 3,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.31 : 12,693.18 = 2,618.42 : x
  2. Step 2: Convert to fraction form
    8,461.31/12,693.18 = 2,618.42/x
  3. Step 3: Cross multiply
    8,461.31x = 12,693.18 × 2,618.42
  4. Step 4: Simplify right side
    8,461.31x = 33,236,076.38
  5. Step 5: Solve for x
    x = 33,236,076.38/8,461.31
  6. Step 6: Final answer
    x = 3,928.01

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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.