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Finding the Fourth Proportional to 7,793.31, 10,754.82 and 4,437.21

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Solution

The fourth proportional to 7,793.31, 10,754.82 and 4,437.21 is: 6,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.31 : 10,754.82 = 4,437.21 : x
  2. Step 2: Convert to fraction form
    7,793.31/10,754.82 = 4,437.21/x
  3. Step 3: Cross multiply
    7,793.31x = 10,754.82 × 4,437.21
  4. Step 4: Simplify right side
    7,793.31x = 47,721,394.85
  5. Step 5: Solve for x
    x = 47,721,394.85/7,793.31
  6. Step 6: Final answer
    x = 6,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.