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Finding the Fourth Proportional to 8,489.08, 12,731.16 and 2,942.20

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Solution

The fourth proportional to 8,489.08, 12,731.16 and 2,942.20 is: 4,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.08 : 12,731.16 = 2,942.20 : x
  2. Step 2: Convert to fraction form
    8,489.08/12,731.16 = 2,942.20/x
  3. Step 3: Cross multiply
    8,489.08x = 12,731.16 × 2,942.20
  4. Step 4: Simplify right side
    8,489.08x = 37,457,618.95
  5. Step 5: Solve for x
    x = 37,457,618.95/8,489.08
  6. Step 6: Final answer
    x = 4,412.45

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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.