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Finding the Fourth Proportional to 8,148.53, 12,224.34 and 3,218.22

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Solution

The fourth proportional to 8,148.53, 12,224.34 and 3,218.22 is: 4,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.53 : 12,224.34 = 3,218.22 : x
  2. Step 2: Convert to fraction form
    8,148.53/12,224.34 = 3,218.22/x
  3. Step 3: Cross multiply
    8,148.53x = 12,224.34 × 3,218.22
  4. Step 4: Simplify right side
    8,148.53x = 39,340,615.47
  5. Step 5: Solve for x
    x = 39,340,615.47/8,148.53
  6. Step 6: Final answer
    x = 4,827.94

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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.