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Finding the Fourth Proportional to 11,330.68, 16,997.75 and 5,781

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Solution

The fourth proportional to 11,330.68, 16,997.75 and 5,781 is: 8,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,330.68 : 16,997.75 = 5,781 : x
  2. Step 2: Convert to fraction form
    11,330.68/16,997.75 = 5,781/x
  3. Step 3: Cross multiply
    11,330.68x = 16,997.75 × 5,781
  4. Step 4: Simplify right side
    11,330.68x = 98,264,007.20
  5. Step 5: Solve for x
    x = 98,264,007.20/11,330.68
  6. Step 6: Final answer
    x = 8,672.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.