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Finding the Fourth Proportional to 11,158.62, 16,737.94 and 4,233.12

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Solution

The fourth proportional to 11,158.62, 16,737.94 and 4,233.12 is: 6,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,158.62 : 16,737.94 = 4,233.12 : x
  2. Step 2: Convert to fraction form
    11,158.62/16,737.94 = 4,233.12/x
  3. Step 3: Cross multiply
    11,158.62x = 16,737.94 × 4,233.12
  4. Step 4: Simplify right side
    11,158.62x = 70,853,708.57
  5. Step 5: Solve for x
    x = 70,853,708.57/11,158.62
  6. Step 6: Final answer
    x = 6,349.68

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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.