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Finding the Fourth Proportional to 8,456.40, 12,690.98 and 3,191.20

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Solution

The fourth proportional to 8,456.40, 12,690.98 and 3,191.20 is: 4,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.40 : 12,690.98 = 3,191.20 : x
  2. Step 2: Convert to fraction form
    8,456.40/12,690.98 = 3,191.20/x
  3. Step 3: Cross multiply
    8,456.40x = 12,690.98 × 3,191.20
  4. Step 4: Simplify right side
    8,456.40x = 40,499,419.66
  5. Step 5: Solve for x
    x = 40,499,419.66/8,456.40
  6. Step 6: Final answer
    x = 4,789.20

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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.