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Finding the Fourth Proportional to 12,311.16, 18,466.92 and 3,077.16

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Solution

The fourth proportional to 12,311.16, 18,466.92 and 3,077.16 is: 4,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.16 : 18,466.92 = 3,077.16 : x
  2. Step 2: Convert to fraction form
    12,311.16/18,466.92 = 3,077.16/x
  3. Step 3: Cross multiply
    12,311.16x = 18,466.92 × 3,077.16
  4. Step 4: Simplify right side
    12,311.16x = 56,825,667.55
  5. Step 5: Solve for x
    x = 56,825,667.55/12,311.16
  6. Step 6: Final answer
    x = 4,615.78

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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.