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Finding the Fourth Proportional to 8,165.60, 12,242.40 and 3,232.80

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Solution

The fourth proportional to 8,165.60, 12,242.40 and 3,232.80 is: 4,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.60 : 12,242.40 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    8,165.60/12,242.40 = 3,232.80/x
  3. Step 3: Cross multiply
    8,165.60x = 12,242.40 × 3,232.80
  4. Step 4: Simplify right side
    8,165.60x = 39,577,230.72
  5. Step 5: Solve for x
    x = 39,577,230.72/8,165.60
  6. Step 6: Final answer
    x = 4,846.82

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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.