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Finding the Fourth Proportional to 8,231.80, 12,347.70 and 5,726.20

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Solution

The fourth proportional to 8,231.80, 12,347.70 and 5,726.20 is: 8,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.80 : 12,347.70 = 5,726.20 : x
  2. Step 2: Convert to fraction form
    8,231.80/12,347.70 = 5,726.20/x
  3. Step 3: Cross multiply
    8,231.80x = 12,347.70 × 5,726.20
  4. Step 4: Simplify right side
    8,231.80x = 70,705,399.74
  5. Step 5: Solve for x
    x = 70,705,399.74/8,231.80
  6. Step 6: Final answer
    x = 8,589.30

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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.