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Finding the Fourth Proportional to 11,087, 16,633.06 and 3,791

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Solution

The fourth proportional to 11,087, 16,633.06 and 3,791 is: 5,687.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,087 : 16,633.06 = 3,791 : x
  2. Step 2: Convert to fraction form
    11,087/16,633.06 = 3,791/x
  3. Step 3: Cross multiply
    11,087x = 16,633.06 × 3,791
  4. Step 4: Simplify right side
    11,087x = 63,055,930.46
  5. Step 5: Solve for x
    x = 63,055,930.46/11,087
  6. Step 6: Final answer
    x = 5,687.38

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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.