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Finding the Fourth Proportional to 11,897.64, 17,826.66 and 7,732.44

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Solution

The fourth proportional to 11,897.64, 17,826.66 and 7,732.44 is: 11,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.64 : 17,826.66 = 7,732.44 : x
  2. Step 2: Convert to fraction form
    11,897.64/17,826.66 = 7,732.44/x
  3. Step 3: Cross multiply
    11,897.64x = 17,826.66 × 7,732.44
  4. Step 4: Simplify right side
    11,897.64x = 137,843,578.85
  5. Step 5: Solve for x
    x = 137,843,578.85/11,897.64
  6. Step 6: Final answer
    x = 11,585.79

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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.