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Finding the Fourth Proportional to 8,154.40, 12,232.08 and 2,311.20

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Solution

The fourth proportional to 8,154.40, 12,232.08 and 2,311.20 is: 3,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.40 : 12,232.08 = 2,311.20 : x
  2. Step 2: Convert to fraction form
    8,154.40/12,232.08 = 2,311.20/x
  3. Step 3: Cross multiply
    8,154.40x = 12,232.08 × 2,311.20
  4. Step 4: Simplify right side
    8,154.40x = 28,270,783.30
  5. Step 5: Solve for x
    x = 28,270,783.30/8,154.40
  6. Step 6: Final answer
    x = 3,466.94

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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.