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Finding the Fourth Proportional to 11,700.23, 17,540.47 and 5,456.95

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Solution

The fourth proportional to 11,700.23, 17,540.47 and 5,456.95 is: 8,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.23 : 17,540.47 = 5,456.95 : x
  2. Step 2: Convert to fraction form
    11,700.23/17,540.47 = 5,456.95/x
  3. Step 3: Cross multiply
    11,700.23x = 17,540.47 × 5,456.95
  4. Step 4: Simplify right side
    11,700.23x = 95,717,480.43
  5. Step 5: Solve for x
    x = 95,717,480.43/11,700.23
  6. Step 6: Final answer
    x = 8,180.82

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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.