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Finding the Fourth Proportional to 7,013.22, 10,462.38 and 6,822.54

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Solution

The fourth proportional to 7,013.22, 10,462.38 and 6,822.54 is: 10,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.22 : 10,462.38 = 6,822.54 : x
  2. Step 2: Convert to fraction form
    7,013.22/10,462.38 = 6,822.54/x
  3. Step 3: Cross multiply
    7,013.22x = 10,462.38 × 6,822.54
  4. Step 4: Simplify right side
    7,013.22x = 71,380,006.05
  5. Step 5: Solve for x
    x = 71,380,006.05/7,013.22
  6. Step 6: Final answer
    x = 10,177.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.