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Finding the Fourth Proportional to 7,338.88, 10,142.22 and 6,010.48

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Solution

The fourth proportional to 7,338.88, 10,142.22 and 6,010.48 is: 8,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.88 : 10,142.22 = 6,010.48 : x
  2. Step 2: Convert to fraction form
    7,338.88/10,142.22 = 6,010.48/x
  3. Step 3: Cross multiply
    7,338.88x = 10,142.22 × 6,010.48
  4. Step 4: Simplify right side
    7,338.88x = 60,959,610.47
  5. Step 5: Solve for x
    x = 60,959,610.47/7,338.88
  6. Step 6: Final answer
    x = 8,306.39

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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.