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Finding the Fourth Proportional to 11,606.10, 17,409.12 and 5,766.78

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Solution

The fourth proportional to 11,606.10, 17,409.12 and 5,766.78 is: 8,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.10 : 17,409.12 = 5,766.78 : x
  2. Step 2: Convert to fraction form
    11,606.10/17,409.12 = 5,766.78/x
  3. Step 3: Cross multiply
    11,606.10x = 17,409.12 × 5,766.78
  4. Step 4: Simplify right side
    11,606.10x = 100,394,565.03
  5. Step 5: Solve for x
    x = 100,394,565.03/11,606.10
  6. Step 6: Final answer
    x = 8,650.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.