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Finding the Fourth Proportional to 11,610.92, 17,411.92 and 5,684.15

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Solution

The fourth proportional to 11,610.92, 17,411.92 and 5,684.15 is: 8,524.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.92 : 17,411.92 = 5,684.15 : x
  2. Step 2: Convert to fraction form
    11,610.92/17,411.92 = 5,684.15/x
  3. Step 3: Cross multiply
    11,610.92x = 17,411.92 × 5,684.15
  4. Step 4: Simplify right side
    11,610.92x = 98,971,965.07
  5. Step 5: Solve for x
    x = 98,971,965.07/11,610.92
  6. Step 6: Final answer
    x = 8,524.04

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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.