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Finding the Fourth Proportional to 7,608.38, 10,499.78 and 4,251.33

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Solution

The fourth proportional to 7,608.38, 10,499.78 and 4,251.33 is: 5,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.38 : 10,499.78 = 4,251.33 : x
  2. Step 2: Convert to fraction form
    7,608.38/10,499.78 = 4,251.33/x
  3. Step 3: Cross multiply
    7,608.38x = 10,499.78 × 4,251.33
  4. Step 4: Simplify right side
    7,608.38x = 44,638,040.34
  5. Step 5: Solve for x
    x = 44,638,040.34/7,608.38
  6. Step 6: Final answer
    x = 5,866.96

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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.