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Finding the Fourth Proportional to 11,598.69, 16,010.34 and 6,882.97

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Solution

The fourth proportional to 11,598.69, 16,010.34 and 6,882.97 is: 9,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.69 : 16,010.34 = 6,882.97 : x
  2. Step 2: Convert to fraction form
    11,598.69/16,010.34 = 6,882.97/x
  3. Step 3: Cross multiply
    11,598.69x = 16,010.34 × 6,882.97
  4. Step 4: Simplify right side
    11,598.69x = 110,198,689.91
  5. Step 5: Solve for x
    x = 110,198,689.91/11,598.69
  6. Step 6: Final answer
    x = 9,500.96

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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.