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Finding the Fourth Proportional to 8,597.24, 12,891.54 and 3,983.48

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Solution

The fourth proportional to 8,597.24, 12,891.54 and 3,983.48 is: 5,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.24 : 12,891.54 = 3,983.48 : x
  2. Step 2: Convert to fraction form
    8,597.24/12,891.54 = 3,983.48/x
  3. Step 3: Cross multiply
    8,597.24x = 12,891.54 × 3,983.48
  4. Step 4: Simplify right side
    8,597.24x = 51,353,191.76
  5. Step 5: Solve for x
    x = 51,353,191.76/8,597.24
  6. Step 6: Final answer
    x = 5,973.22

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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.