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Finding the Fourth Proportional to 8,591.90, 11,847.45 and 7,462.86

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Solution

The fourth proportional to 8,591.90, 11,847.45 and 7,462.86 is: 10,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.90 : 11,847.45 = 7,462.86 : x
  2. Step 2: Convert to fraction form
    8,591.90/11,847.45 = 7,462.86/x
  3. Step 3: Cross multiply
    8,591.90x = 11,847.45 × 7,462.86
  4. Step 4: Simplify right side
    8,591.90x = 88,415,860.71
  5. Step 5: Solve for x
    x = 88,415,860.71/8,591.90
  6. Step 6: Final answer
    x = 10,290.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.