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Finding the Fourth Proportional to 7,843.11, 11,761.02 and 4,557.21

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Solution

The fourth proportional to 7,843.11, 11,761.02 and 4,557.21 is: 6,833.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.11 : 11,761.02 = 4,557.21 : x
  2. Step 2: Convert to fraction form
    7,843.11/11,761.02 = 4,557.21/x
  3. Step 3: Cross multiply
    7,843.11x = 11,761.02 × 4,557.21
  4. Step 4: Simplify right side
    7,843.11x = 53,597,437.95
  5. Step 5: Solve for x
    x = 53,597,437.95/7,843.11
  6. Step 6: Final answer
    x = 6,833.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.