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Finding the Fourth Proportional to 8,083.68, 12,116.54 and 3,402.30

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Solution

The fourth proportional to 8,083.68, 12,116.54 and 3,402.30 is: 5,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.68 : 12,116.54 = 3,402.30 : x
  2. Step 2: Convert to fraction form
    8,083.68/12,116.54 = 3,402.30/x
  3. Step 3: Cross multiply
    8,083.68x = 12,116.54 × 3,402.30
  4. Step 4: Simplify right side
    8,083.68x = 41,224,104.04
  5. Step 5: Solve for x
    x = 41,224,104.04/8,083.68
  6. Step 6: Final answer
    x = 5,099.67

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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.