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Finding the Fourth Proportional to 7,144.80, 9,859.82 and 4,001.01

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Solution

The fourth proportional to 7,144.80, 9,859.82 and 4,001.01 is: 5,521.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.80 : 9,859.82 = 4,001.01 : x
  2. Step 2: Convert to fraction form
    7,144.80/9,859.82 = 4,001.01/x
  3. Step 3: Cross multiply
    7,144.80x = 9,859.82 × 4,001.01
  4. Step 4: Simplify right side
    7,144.80x = 39,449,218.41
  5. Step 5: Solve for x
    x = 39,449,218.41/7,144.80
  6. Step 6: Final answer
    x = 5,521.39

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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.