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Finding the Fourth Proportional to 10,181.97, 14,049.81 and 5,934.39

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Solution

The fourth proportional to 10,181.97, 14,049.81 and 5,934.39 is: 8,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.97 : 14,049.81 = 5,934.39 : x
  2. Step 2: Convert to fraction form
    10,181.97/14,049.81 = 5,934.39/x
  3. Step 3: Cross multiply
    10,181.97x = 14,049.81 × 5,934.39
  4. Step 4: Simplify right side
    10,181.97x = 83,377,051.97
  5. Step 5: Solve for x
    x = 83,377,051.97/10,181.97
  6. Step 6: Final answer
    x = 8,188.70

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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.