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Finding the Fourth Proportional to 8,152.79, 12,231.20 and 2,309.45

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Solution

The fourth proportional to 8,152.79, 12,231.20 and 2,309.45 is: 3,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.79 : 12,231.20 = 2,309.45 : x
  2. Step 2: Convert to fraction form
    8,152.79/12,231.20 = 2,309.45/x
  3. Step 3: Cross multiply
    8,152.79x = 12,231.20 × 2,309.45
  4. Step 4: Simplify right side
    8,152.79x = 28,247,289.46
  5. Step 5: Solve for x
    x = 28,247,289.46/8,152.79
  6. Step 6: Final answer
    x = 3,464.74

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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.