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Finding the Fourth Proportional to 8,221.12, 11,344.92 and 4,685.46

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Solution

The fourth proportional to 8,221.12, 11,344.92 and 4,685.46 is: 6,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.12 : 11,344.92 = 4,685.46 : x
  2. Step 2: Convert to fraction form
    8,221.12/11,344.92 = 4,685.46/x
  3. Step 3: Cross multiply
    8,221.12x = 11,344.92 × 4,685.46
  4. Step 4: Simplify right side
    8,221.12x = 53,156,168.86
  5. Step 5: Solve for x
    x = 53,156,168.86/8,221.12
  6. Step 6: Final answer
    x = 6,465.81

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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.