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Finding the Fourth Proportional to 11,700.51, 17,540.82 and 5,121.78

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Solution

The fourth proportional to 11,700.51, 17,540.82 and 5,121.78 is: 7,678.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.51 : 17,540.82 = 5,121.78 : x
  2. Step 2: Convert to fraction form
    11,700.51/17,540.82 = 5,121.78/x
  3. Step 3: Cross multiply
    11,700.51x = 17,540.82 × 5,121.78
  4. Step 4: Simplify right side
    11,700.51x = 89,840,221.06
  5. Step 5: Solve for x
    x = 89,840,221.06/11,700.51
  6. Step 6: Final answer
    x = 7,678.32

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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.