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Finding the Fourth Proportional to 11,294.96, 16,957.96 and 5,752.04

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Solution

The fourth proportional to 11,294.96, 16,957.96 and 5,752.04 is: 8,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.96 : 16,957.96 = 5,752.04 : x
  2. Step 2: Convert to fraction form
    11,294.96/16,957.96 = 5,752.04/x
  3. Step 3: Cross multiply
    11,294.96x = 16,957.96 × 5,752.04
  4. Step 4: Simplify right side
    11,294.96x = 97,542,765.07
  5. Step 5: Solve for x
    x = 97,542,765.07/11,294.96
  6. Step 6: Final answer
    x = 8,635.96

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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.