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Finding the Fourth Proportional to 8,407.08, 12,610.62 and 3,214.17

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Solution

The fourth proportional to 8,407.08, 12,610.62 and 3,214.17 is: 4,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.08 : 12,610.62 = 3,214.17 : x
  2. Step 2: Convert to fraction form
    8,407.08/12,610.62 = 3,214.17/x
  3. Step 3: Cross multiply
    8,407.08x = 12,610.62 × 3,214.17
  4. Step 4: Simplify right side
    8,407.08x = 40,532,676.49
  5. Step 5: Solve for x
    x = 40,532,676.49/8,407.08
  6. Step 6: Final answer
    x = 4,821.26

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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.