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Finding the Fourth Proportional to 8,597.70, 12,887.42 and 5,467.86

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Solution

The fourth proportional to 8,597.70, 12,887.42 and 5,467.86 is: 8,195.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.70 : 12,887.42 = 5,467.86 : x
  2. Step 2: Convert to fraction form
    8,597.70/12,887.42 = 5,467.86/x
  3. Step 3: Cross multiply
    8,597.70x = 12,887.42 × 5,467.86
  4. Step 4: Simplify right side
    8,597.70x = 70,466,608.32
  5. Step 5: Solve for x
    x = 70,466,608.32/8,597.70
  6. Step 6: Final answer
    x = 8,195.98

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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.