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Finding the Fourth Proportional to 11,514.67, 15,889.66 and 6,798.04

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Solution

The fourth proportional to 11,514.67, 15,889.66 and 6,798.04 is: 9,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,514.67 : 15,889.66 = 6,798.04 : x
  2. Step 2: Convert to fraction form
    11,514.67/15,889.66 = 6,798.04/x
  3. Step 3: Cross multiply
    11,514.67x = 15,889.66 × 6,798.04
  4. Step 4: Simplify right side
    11,514.67x = 108,018,544.27
  5. Step 5: Solve for x
    x = 108,018,544.27/11,514.67
  6. Step 6: Final answer
    x = 9,380.95

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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.