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Finding the Fourth Proportional to 8,096.34, 12,139.33 and 3,415.08

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Solution

The fourth proportional to 8,096.34, 12,139.33 and 3,415.08 is: 5,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.34 : 12,139.33 = 3,415.08 : x
  2. Step 2: Convert to fraction form
    8,096.34/12,139.33 = 3,415.08/x
  3. Step 3: Cross multiply
    8,096.34x = 12,139.33 × 3,415.08
  4. Step 4: Simplify right side
    8,096.34x = 41,456,788.61
  5. Step 5: Solve for x
    x = 41,456,788.61/8,096.34
  6. Step 6: Final answer
    x = 5,120.43

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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.