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Finding the Fourth Proportional to 7,793.82, 10,757.00 and 5,434.63

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Solution

The fourth proportional to 7,793.82, 10,757.00 and 5,434.63 is: 7,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.82 : 10,757.00 = 5,434.63 : x
  2. Step 2: Convert to fraction form
    7,793.82/10,757.00 = 5,434.63/x
  3. Step 3: Cross multiply
    7,793.82x = 10,757.00 × 5,434.63
  4. Step 4: Simplify right side
    7,793.82x = 58,460,301.60
  5. Step 5: Solve for x
    x = 58,460,301.60/7,793.82
  6. Step 6: Final answer
    x = 7,500.85

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