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Finding the Fourth Proportional to 7,489.34, 10,331.38 and 6,074.68

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Solution

The fourth proportional to 7,489.34, 10,331.38 and 6,074.68 is: 8,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.34 : 10,331.38 = 6,074.68 : x
  2. Step 2: Convert to fraction form
    7,489.34/10,331.38 = 6,074.68/x
  3. Step 3: Cross multiply
    7,489.34x = 10,331.38 × 6,074.68
  4. Step 4: Simplify right side
    7,489.34x = 62,759,745.43
  5. Step 5: Solve for x
    x = 62,759,745.43/7,489.34
  6. Step 6: Final answer
    x = 8,379.88

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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.