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Finding the Fourth Proportional to 8,312.90, 12,471.17 and 2,765.75

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Solution

The fourth proportional to 8,312.90, 12,471.17 and 2,765.75 is: 4,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.90 : 12,471.17 = 2,765.75 : x
  2. Step 2: Convert to fraction form
    8,312.90/12,471.17 = 2,765.75/x
  3. Step 3: Cross multiply
    8,312.90x = 12,471.17 × 2,765.75
  4. Step 4: Simplify right side
    8,312.90x = 34,492,062.24
  5. Step 5: Solve for x
    x = 34,492,062.24/8,312.90
  6. Step 6: Final answer
    x = 4,149.22

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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.