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Finding the Fourth Proportional to 10,181.69, 14,049.76 and 6,997.78

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Solution

The fourth proportional to 10,181.69, 14,049.76 and 6,997.78 is: 9,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.69 : 14,049.76 = 6,997.78 : x
  2. Step 2: Convert to fraction form
    10,181.69/14,049.76 = 6,997.78/x
  3. Step 3: Cross multiply
    10,181.69x = 14,049.76 × 6,997.78
  4. Step 4: Simplify right side
    10,181.69x = 98,317,129.53
  5. Step 5: Solve for x
    x = 98,317,129.53/10,181.69
  6. Step 6: Final answer
    x = 9,656.27

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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.