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Finding the Fourth Proportional to 8,224.67, 11,339.76 and 6,863.90

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Solution

The fourth proportional to 8,224.67, 11,339.76 and 6,863.90 is: 9,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.67 : 11,339.76 = 6,863.90 : x
  2. Step 2: Convert to fraction form
    8,224.67/11,339.76 = 6,863.90/x
  3. Step 3: Cross multiply
    8,224.67x = 11,339.76 × 6,863.90
  4. Step 4: Simplify right side
    8,224.67x = 77,834,977.36
  5. Step 5: Solve for x
    x = 77,834,977.36/8,224.67
  6. Step 6: Final answer
    x = 9,463.60

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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.