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Finding the Fourth Proportional to 8,248.80, 12,375.12 and 2,405.52

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Solution

The fourth proportional to 8,248.80, 12,375.12 and 2,405.52 is: 3,608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248.80 : 12,375.12 = 2,405.52 : x
  2. Step 2: Convert to fraction form
    8,248.80/12,375.12 = 2,405.52/x
  3. Step 3: Cross multiply
    8,248.80x = 12,375.12 × 2,405.52
  4. Step 4: Simplify right side
    8,248.80x = 29,768,598.66
  5. Step 5: Solve for x
    x = 29,768,598.66/8,248.80
  6. Step 6: Final answer
    x = 3,608.84

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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.