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Finding the Fourth Proportional to 10,208.01, 14,086.98 and 5,731.85

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Solution

The fourth proportional to 10,208.01, 14,086.98 and 5,731.85 is: 7,909.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.01 : 14,086.98 = 5,731.85 : x
  2. Step 2: Convert to fraction form
    10,208.01/14,086.98 = 5,731.85/x
  3. Step 3: Cross multiply
    10,208.01x = 14,086.98 × 5,731.85
  4. Step 4: Simplify right side
    10,208.01x = 80,744,456.31
  5. Step 5: Solve for x
    x = 80,744,456.31/10,208.01
  6. Step 6: Final answer
    x = 7,909.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.