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Finding the Fourth Proportional to 6,813.26, 10,221.80 and 2,431.16

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Solution

The fourth proportional to 6,813.26, 10,221.80 and 2,431.16 is: 3,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.26 : 10,221.80 = 2,431.16 : x
  2. Step 2: Convert to fraction form
    6,813.26/10,221.80 = 2,431.16/x
  3. Step 3: Cross multiply
    6,813.26x = 10,221.80 × 2,431.16
  4. Step 4: Simplify right side
    6,813.26x = 24,850,831.29
  5. Step 5: Solve for x
    x = 24,850,831.29/6,813.26
  6. Step 6: Final answer
    x = 3,647.42

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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.