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Finding the Fourth Proportional to 7,822.24, 10,793.02 and 4,636.54

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Solution

The fourth proportional to 7,822.24, 10,793.02 and 4,636.54 is: 6,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.24 : 10,793.02 = 4,636.54 : x
  2. Step 2: Convert to fraction form
    7,822.24/10,793.02 = 4,636.54/x
  3. Step 3: Cross multiply
    7,822.24x = 10,793.02 × 4,636.54
  4. Step 4: Simplify right side
    7,822.24x = 50,042,268.95
  5. Step 5: Solve for x
    x = 50,042,268.95/7,822.24
  6. Step 6: Final answer
    x = 6,397.43

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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.