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Finding the Fourth Proportional to 7,900.38, 10,902.84 and 4,363.48

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Solution

The fourth proportional to 7,900.38, 10,902.84 and 4,363.48 is: 6,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.38 : 10,902.84 = 4,363.48 : x
  2. Step 2: Convert to fraction form
    7,900.38/10,902.84 = 4,363.48/x
  3. Step 3: Cross multiply
    7,900.38x = 10,902.84 × 4,363.48
  4. Step 4: Simplify right side
    7,900.38x = 47,574,324.28
  5. Step 5: Solve for x
    x = 47,574,324.28/7,900.38
  6. Step 6: Final answer
    x = 6,021.78

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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.