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Finding the Fourth Proportional to 7,331.38, 10,119.54 and 5,849.49

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Solution

The fourth proportional to 7,331.38, 10,119.54 and 5,849.49 is: 8,074.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.38 : 10,119.54 = 5,849.49 : x
  2. Step 2: Convert to fraction form
    7,331.38/10,119.54 = 5,849.49/x
  3. Step 3: Cross multiply
    7,331.38x = 10,119.54 × 5,849.49
  4. Step 4: Simplify right side
    7,331.38x = 59,194,148.03
  5. Step 5: Solve for x
    x = 59,194,148.03/7,331.38
  6. Step 6: Final answer
    x = 8,074.08

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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.