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Finding the Fourth Proportional to 8,229.27, 11,356.83 and 4,595.82

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Solution

The fourth proportional to 8,229.27, 11,356.83 and 4,595.82 is: 6,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.27 : 11,356.83 = 4,595.82 : x
  2. Step 2: Convert to fraction form
    8,229.27/11,356.83 = 4,595.82/x
  3. Step 3: Cross multiply
    8,229.27x = 11,356.83 × 4,595.82
  4. Step 4: Simplify right side
    8,229.27x = 52,193,903.86
  5. Step 5: Solve for x
    x = 52,193,903.86/8,229.27
  6. Step 6: Final answer
    x = 6,342.47

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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.