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Finding the Fourth Proportional to 11,166, 16,737.32 and 3,767.92

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Solution

The fourth proportional to 11,166, 16,737.32 and 3,767.92 is: 5,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,166 : 16,737.32 = 3,767.92 : x
  2. Step 2: Convert to fraction form
    11,166/16,737.32 = 3,767.92/x
  3. Step 3: Cross multiply
    11,166x = 16,737.32 × 3,767.92
  4. Step 4: Simplify right side
    11,166x = 63,064,882.77
  5. Step 5: Solve for x
    x = 63,064,882.77/11,166
  6. Step 6: Final answer
    x = 5,647.94

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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.