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Finding the Fourth Proportional to 11,516.97, 17,262.45 and 5,677.68

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Solution

The fourth proportional to 11,516.97, 17,262.45 and 5,677.68 is: 8,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.97 : 17,262.45 = 5,677.68 : x
  2. Step 2: Convert to fraction form
    11,516.97/17,262.45 = 5,677.68/x
  3. Step 3: Cross multiply
    11,516.97x = 17,262.45 × 5,677.68
  4. Step 4: Simplify right side
    11,516.97x = 98,010,667.12
  5. Step 5: Solve for x
    x = 98,010,667.12/11,516.97
  6. Step 6: Final answer
    x = 8,510.11

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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.