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Finding the Fourth Proportional to 11,229.84, 15,499.35 and 6,514.43

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Solution

The fourth proportional to 11,229.84, 15,499.35 and 6,514.43 is: 8,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.84 : 15,499.35 = 6,514.43 : x
  2. Step 2: Convert to fraction form
    11,229.84/15,499.35 = 6,514.43/x
  3. Step 3: Cross multiply
    11,229.84x = 15,499.35 × 6,514.43
  4. Step 4: Simplify right side
    11,229.84x = 100,969,353.12
  5. Step 5: Solve for x
    x = 100,969,353.12/11,229.84
  6. Step 6: Final answer
    x = 8,991.17

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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.