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Finding the Fourth Proportional to 8,224.43, 11,350.80 and 4,686.83

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Solution

The fourth proportional to 8,224.43, 11,350.80 and 4,686.83 is: 6,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.43 : 11,350.80 = 4,686.83 : x
  2. Step 2: Convert to fraction form
    8,224.43/11,350.80 = 4,686.83/x
  3. Step 3: Cross multiply
    8,224.43x = 11,350.80 × 4,686.83
  4. Step 4: Simplify right side
    8,224.43x = 53,199,246.53
  5. Step 5: Solve for x
    x = 53,199,246.53/8,224.43
  6. Step 6: Final answer
    x = 6,468.44

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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.