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Finding the Fourth Proportional to 8,214.68, 11,322.92 and 6,419.02

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Solution

The fourth proportional to 8,214.68, 11,322.92 and 6,419.02 is: 8,847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.68 : 11,322.92 = 6,419.02 : x
  2. Step 2: Convert to fraction form
    8,214.68/11,322.92 = 6,419.02/x
  3. Step 3: Cross multiply
    8,214.68x = 11,322.92 × 6,419.02
  4. Step 4: Simplify right side
    8,214.68x = 72,682,049.94
  5. Step 5: Solve for x
    x = 72,682,049.94/8,214.68
  6. Step 6: Final answer
    x = 8,847.82

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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.