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Finding the Fourth Proportional to 8,587.44, 12,885.48 and 6,400.56

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Solution

The fourth proportional to 8,587.44, 12,885.48 and 6,400.56 is: 9,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.44 : 12,885.48 = 6,400.56 : x
  2. Step 2: Convert to fraction form
    8,587.44/12,885.48 = 6,400.56/x
  3. Step 3: Cross multiply
    8,587.44x = 12,885.48 × 6,400.56
  4. Step 4: Simplify right side
    8,587.44x = 82,474,287.87
  5. Step 5: Solve for x
    x = 82,474,287.87/8,587.44
  6. Step 6: Final answer
    x = 9,604.06

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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.