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Finding the Fourth Proportional to 8,441.42, 11,652.80 and 7,910.12

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Solution

The fourth proportional to 8,441.42, 11,652.80 and 7,910.12 is: 10,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.42 : 11,652.80 = 7,910.12 : x
  2. Step 2: Convert to fraction form
    8,441.42/11,652.80 = 7,910.12/x
  3. Step 3: Cross multiply
    8,441.42x = 11,652.80 × 7,910.12
  4. Step 4: Simplify right side
    8,441.42x = 92,175,046.34
  5. Step 5: Solve for x
    x = 92,175,046.34/8,441.42
  6. Step 6: Final answer
    x = 10,919.38

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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.