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Finding the Fourth Proportional to 8,311.77, 12,466.35 and 2,765.16

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Solution

The fourth proportional to 8,311.77, 12,466.35 and 2,765.16 is: 4,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.77 : 12,466.35 = 2,765.16 : x
  2. Step 2: Convert to fraction form
    8,311.77/12,466.35 = 2,765.16/x
  3. Step 3: Cross multiply
    8,311.77x = 12,466.35 × 2,765.16
  4. Step 4: Simplify right side
    8,311.77x = 34,471,452.37
  5. Step 5: Solve for x
    x = 34,471,452.37/8,311.77
  6. Step 6: Final answer
    x = 4,147.31

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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.