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Finding the Fourth Proportional to 10,319.78, 14,241 and 5,843.95

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Solution

The fourth proportional to 10,319.78, 14,241 and 5,843.95 is: 8,064.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.78 : 14,241 = 5,843.95 : x
  2. Step 2: Convert to fraction form
    10,319.78/14,241 = 5,843.95/x
  3. Step 3: Cross multiply
    10,319.78x = 14,241 × 5,843.95
  4. Step 4: Simplify right side
    10,319.78x = 83,223,691.95
  5. Step 5: Solve for x
    x = 83,223,691.95/10,319.78
  6. Step 6: Final answer
    x = 8,064.49

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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.