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Finding the Fourth Proportional to 11,761.95, 17,645.96 and 4,368.52

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Solution

The fourth proportional to 11,761.95, 17,645.96 and 4,368.52 is: 6,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.95 : 17,645.96 = 4,368.52 : x
  2. Step 2: Convert to fraction form
    11,761.95/17,645.96 = 4,368.52/x
  3. Step 3: Cross multiply
    11,761.95x = 17,645.96 × 4,368.52
  4. Step 4: Simplify right side
    11,761.95x = 77,086,729.18
  5. Step 5: Solve for x
    x = 77,086,729.18/11,761.95
  6. Step 6: Final answer
    x = 6,553.91

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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.