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Finding the Fourth Proportional to 8,841.60, 12,202.38 and 5,305.68

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Solution

The fourth proportional to 8,841.60, 12,202.38 and 5,305.68 is: 7,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841.60 : 12,202.38 = 5,305.68 : x
  2. Step 2: Convert to fraction form
    8,841.60/12,202.38 = 5,305.68/x
  3. Step 3: Cross multiply
    8,841.60x = 12,202.38 × 5,305.68
  4. Step 4: Simplify right side
    8,841.60x = 64,741,923.52
  5. Step 5: Solve for x
    x = 64,741,923.52/8,841.60
  6. Step 6: Final answer
    x = 7,322.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.