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Finding the Fourth Proportional to 8,597.57, 12,896.35 and 5,675.19

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Solution

The fourth proportional to 8,597.57, 12,896.35 and 5,675.19 is: 8,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.57 : 12,896.35 = 5,675.19 : x
  2. Step 2: Convert to fraction form
    8,597.57/12,896.35 = 5,675.19/x
  3. Step 3: Cross multiply
    8,597.57x = 12,896.35 × 5,675.19
  4. Step 4: Simplify right side
    8,597.57x = 73,189,218.50
  5. Step 5: Solve for x
    x = 73,189,218.50/8,597.57
  6. Step 6: Final answer
    x = 8,512.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.