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Finding the Fourth Proportional to 8,146.88, 12,214.71 and 3,217.08

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Solution

The fourth proportional to 8,146.88, 12,214.71 and 3,217.08 is: 4,823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.88 : 12,214.71 = 3,217.08 : x
  2. Step 2: Convert to fraction form
    8,146.88/12,214.71 = 3,217.08/x
  3. Step 3: Cross multiply
    8,146.88x = 12,214.71 × 3,217.08
  4. Step 4: Simplify right side
    8,146.88x = 39,295,699.25
  5. Step 5: Solve for x
    x = 39,295,699.25/8,146.88
  6. Step 6: Final answer
    x = 4,823.41

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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.