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Finding the Fourth Proportional to 6,992.26, 10,505.67 and 6,162.82

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Solution

The fourth proportional to 6,992.26, 10,505.67 and 6,162.82 is: 9,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.26 : 10,505.67 = 6,162.82 : x
  2. Step 2: Convert to fraction form
    6,992.26/10,505.67 = 6,162.82/x
  3. Step 3: Cross multiply
    6,992.26x = 10,505.67 × 6,162.82
  4. Step 4: Simplify right side
    6,992.26x = 64,744,553.19
  5. Step 5: Solve for x
    x = 64,744,553.19/6,992.26
  6. Step 6: Final answer
    x = 9,259.46

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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.