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Finding the Fourth Proportional to 10,208.22, 14,086.89 and 5,731.89

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Solution

The fourth proportional to 10,208.22, 14,086.89 and 5,731.89 is: 7,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.22 : 14,086.89 = 5,731.89 : x
  2. Step 2: Convert to fraction form
    10,208.22/14,086.89 = 5,731.89/x
  3. Step 3: Cross multiply
    10,208.22x = 14,086.89 × 5,731.89
  4. Step 4: Simplify right side
    10,208.22x = 80,744,503.92
  5. Step 5: Solve for x
    x = 80,744,503.92/10,208.22
  6. Step 6: Final answer
    x = 7,909.75

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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.