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Finding the Fourth Proportional to 7,351.74, 10,144.71 and 5,957.82

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Solution

The fourth proportional to 7,351.74, 10,144.71 and 5,957.82 is: 8,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.74 : 10,144.71 = 5,957.82 : x
  2. Step 2: Convert to fraction form
    7,351.74/10,144.71 = 5,957.82/x
  3. Step 3: Cross multiply
    7,351.74x = 10,144.71 × 5,957.82
  4. Step 4: Simplify right side
    7,351.74x = 60,440,356.13
  5. Step 5: Solve for x
    x = 60,440,356.13/7,351.74
  6. Step 6: Final answer
    x = 8,221.23

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