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Finding the Fourth Proportional to 8,214.92, 12,322.19 and 5,575.84

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Solution

The fourth proportional to 8,214.92, 12,322.19 and 5,575.84 is: 8,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.92 : 12,322.19 = 5,575.84 : x
  2. Step 2: Convert to fraction form
    8,214.92/12,322.19 = 5,575.84/x
  3. Step 3: Cross multiply
    8,214.92x = 12,322.19 × 5,575.84
  4. Step 4: Simplify right side
    8,214.92x = 68,706,543.02
  5. Step 5: Solve for x
    x = 68,706,543.02/8,214.92
  6. Step 6: Final answer
    x = 8,363.63

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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.