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Finding the Fourth Proportional to 10,198.90, 14,073.78 and 5,723.38

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Solution

The fourth proportional to 10,198.90, 14,073.78 and 5,723.38 is: 7,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.90 : 14,073.78 = 5,723.38 : x
  2. Step 2: Convert to fraction form
    10,198.90/14,073.78 = 5,723.38/x
  3. Step 3: Cross multiply
    10,198.90x = 14,073.78 × 5,723.38
  4. Step 4: Simplify right side
    10,198.90x = 80,549,590.98
  5. Step 5: Solve for x
    x = 80,549,590.98/10,198.90
  6. Step 6: Final answer
    x = 7,897.87

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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.