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Finding the Fourth Proportional to 7,374.78, 10,170.36 and 5,382.18

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Solution

The fourth proportional to 7,374.78, 10,170.36 and 5,382.18 is: 7,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.78 : 10,170.36 = 5,382.18 : x
  2. Step 2: Convert to fraction form
    7,374.78/10,170.36 = 5,382.18/x
  3. Step 3: Cross multiply
    7,374.78x = 10,170.36 × 5,382.18
  4. Step 4: Simplify right side
    7,374.78x = 54,738,708.18
  5. Step 5: Solve for x
    x = 54,738,708.18/7,374.78
  6. Step 6: Final answer
    x = 7,422.42

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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.