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Finding the Fourth Proportional to 8,123.38, 11,208.04 and 5,140.46

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Solution

The fourth proportional to 8,123.38, 11,208.04 and 5,140.46 is: 7,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.38 : 11,208.04 = 5,140.46 : x
  2. Step 2: Convert to fraction form
    8,123.38/11,208.04 = 5,140.46/x
  3. Step 3: Cross multiply
    8,123.38x = 11,208.04 × 5,140.46
  4. Step 4: Simplify right side
    8,123.38x = 57,614,496.47
  5. Step 5: Solve for x
    x = 57,614,496.47/8,123.38
  6. Step 6: Final answer
    x = 7,092.43

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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.