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Finding the Fourth Proportional to 6,007.44, 8,294.07 and 4,122.18

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Solution

The fourth proportional to 6,007.44, 8,294.07 and 4,122.18 is: 5,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.44 : 8,294.07 = 4,122.18 : x
  2. Step 2: Convert to fraction form
    6,007.44/8,294.07 = 4,122.18/x
  3. Step 3: Cross multiply
    6,007.44x = 8,294.07 × 4,122.18
  4. Step 4: Simplify right side
    6,007.44x = 34,189,649.47
  5. Step 5: Solve for x
    x = 34,189,649.47/6,007.44
  6. Step 6: Final answer
    x = 5,691.22

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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.