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Finding the Fourth Proportional to 8,153.28, 12,230.10 and 2,309.67

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Solution

The fourth proportional to 8,153.28, 12,230.10 and 2,309.67 is: 3,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.28 : 12,230.10 = 2,309.67 : x
  2. Step 2: Convert to fraction form
    8,153.28/12,230.10 = 2,309.67/x
  3. Step 3: Cross multiply
    8,153.28x = 12,230.10 × 2,309.67
  4. Step 4: Simplify right side
    8,153.28x = 28,247,495.07
  5. Step 5: Solve for x
    x = 28,247,495.07/8,153.28
  6. Step 6: Final answer
    x = 3,464.56

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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.