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Finding the Fourth Proportional to 8,387.82, 12,577.46 and 4,441.23

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Solution

The fourth proportional to 8,387.82, 12,577.46 and 4,441.23 is: 6,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.82 : 12,577.46 = 4,441.23 : x
  2. Step 2: Convert to fraction form
    8,387.82/12,577.46 = 4,441.23/x
  3. Step 3: Cross multiply
    8,387.82x = 12,577.46 × 4,441.23
  4. Step 4: Simplify right side
    8,387.82x = 55,859,370.47
  5. Step 5: Solve for x
    x = 55,859,370.47/8,387.82
  6. Step 6: Final answer
    x = 6,659.58

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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.