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Finding the Fourth Proportional to 11,691.66, 17,538.41 and 3,900.47

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Solution

The fourth proportional to 11,691.66, 17,538.41 and 3,900.47 is: 5,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.66 : 17,538.41 = 3,900.47 : x
  2. Step 2: Convert to fraction form
    11,691.66/17,538.41 = 3,900.47/x
  3. Step 3: Cross multiply
    11,691.66x = 17,538.41 × 3,900.47
  4. Step 4: Simplify right side
    11,691.66x = 68,407,934.86
  5. Step 5: Solve for x
    x = 68,407,934.86/11,691.66
  6. Step 6: Final answer
    x = 5,851.00

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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.