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Finding the Fourth Proportional to 8,353.52, 12,525.42 and 3,159.80

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Solution

The fourth proportional to 8,353.52, 12,525.42 and 3,159.80 is: 4,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.52 : 12,525.42 = 3,159.80 : x
  2. Step 2: Convert to fraction form
    8,353.52/12,525.42 = 3,159.80/x
  3. Step 3: Cross multiply
    8,353.52x = 12,525.42 × 3,159.80
  4. Step 4: Simplify right side
    8,353.52x = 39,577,822.12
  5. Step 5: Solve for x
    x = 39,577,822.12/8,353.52
  6. Step 6: Final answer
    x = 4,737.86

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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.