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Finding the Fourth Proportional to 8,099.65, 12,151.16 and 3,419.67

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Solution

The fourth proportional to 8,099.65, 12,151.16 and 3,419.67 is: 5,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.65 : 12,151.16 = 3,419.67 : x
  2. Step 2: Convert to fraction form
    8,099.65/12,151.16 = 3,419.67/x
  3. Step 3: Cross multiply
    8,099.65x = 12,151.16 × 3,419.67
  4. Step 4: Simplify right side
    8,099.65x = 41,552,949.49
  5. Step 5: Solve for x
    x = 41,552,949.49/8,099.65
  6. Step 6: Final answer
    x = 5,130.22

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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.