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Finding the Fourth Proportional to 11,678.42, 17,517.64 and 7,754.78

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Solution

The fourth proportional to 11,678.42, 17,517.64 and 7,754.78 is: 11,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.42 : 17,517.64 = 7,754.78 : x
  2. Step 2: Convert to fraction form
    11,678.42/17,517.64 = 7,754.78/x
  3. Step 3: Cross multiply
    11,678.42x = 17,517.64 × 7,754.78
  4. Step 4: Simplify right side
    11,678.42x = 135,845,444.32
  5. Step 5: Solve for x
    x = 135,845,444.32/11,678.42
  6. Step 6: Final answer
    x = 11,632.18

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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.