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Finding the Fourth Proportional to 8,561.31, 12,842.02 and 2,638.12

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Solution

The fourth proportional to 8,561.31, 12,842.02 and 2,638.12 is: 3,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.31 : 12,842.02 = 2,638.12 : x
  2. Step 2: Convert to fraction form
    8,561.31/12,842.02 = 2,638.12/x
  3. Step 3: Cross multiply
    8,561.31x = 12,842.02 × 2,638.12
  4. Step 4: Simplify right side
    8,561.31x = 33,878,776.61
  5. Step 5: Solve for x
    x = 33,878,776.61/8,561.31
  6. Step 6: Final answer
    x = 3,957.20

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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.