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Finding the Fourth Proportional to 11,171.76, 16,737.65 and 7,462.76

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Solution

The fourth proportional to 11,171.76, 16,737.65 and 7,462.76 is: 11,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.76 : 16,737.65 = 7,462.76 : x
  2. Step 2: Convert to fraction form
    11,171.76/16,737.65 = 7,462.76/x
  3. Step 3: Cross multiply
    11,171.76x = 16,737.65 × 7,462.76
  4. Step 4: Simplify right side
    11,171.76x = 124,908,999.88
  5. Step 5: Solve for x
    x = 124,908,999.88/11,171.76
  6. Step 6: Final answer
    x = 11,180.78

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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.