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Finding the Fourth Proportional to 7,177.26, 10,764.48 and 6,821.24

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Solution

The fourth proportional to 7,177.26, 10,764.48 and 6,821.24 is: 10,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.26 : 10,764.48 = 6,821.24 : x
  2. Step 2: Convert to fraction form
    7,177.26/10,764.48 = 6,821.24/x
  3. Step 3: Cross multiply
    7,177.26x = 10,764.48 × 6,821.24
  4. Step 4: Simplify right side
    7,177.26x = 73,427,133.86
  5. Step 5: Solve for x
    x = 73,427,133.86/7,177.26
  6. Step 6: Final answer
    x = 10,230.52

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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.