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Finding the Fourth Proportional to 7,844.88, 11,767.22 and 2,001.42

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Solution

The fourth proportional to 7,844.88, 11,767.22 and 2,001.42 is: 3,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.88 : 11,767.22 = 2,001.42 : x
  2. Step 2: Convert to fraction form
    7,844.88/11,767.22 = 2,001.42/x
  3. Step 3: Cross multiply
    7,844.88x = 11,767.22 × 2,001.42
  4. Step 4: Simplify right side
    7,844.88x = 23,551,149.45
  5. Step 5: Solve for x
    x = 23,551,149.45/7,844.88
  6. Step 6: Final answer
    x = 3,002.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.