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Finding the Fourth Proportional to 11,833.12, 17,737.66 and 7,675.77

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Solution

The fourth proportional to 11,833.12, 17,737.66 and 7,675.77 is: 11,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.12 : 17,737.66 = 7,675.77 : x
  2. Step 2: Convert to fraction form
    11,833.12/17,737.66 = 7,675.77/x
  3. Step 3: Cross multiply
    11,833.12x = 17,737.66 × 7,675.77
  4. Step 4: Simplify right side
    11,833.12x = 136,150,198.50
  5. Step 5: Solve for x
    x = 136,150,198.50/11,833.12
  6. Step 6: Final answer
    x = 11,505.86

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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.