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Finding the Fourth Proportional to 8,311.98, 12,470.06 and 2,765.34

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Solution

The fourth proportional to 8,311.98, 12,470.06 and 2,765.34 is: 4,148.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.98 : 12,470.06 = 2,765.34 : x
  2. Step 2: Convert to fraction form
    8,311.98/12,470.06 = 2,765.34/x
  3. Step 3: Cross multiply
    8,311.98x = 12,470.06 × 2,765.34
  4. Step 4: Simplify right side
    8,311.98x = 34,483,955.72
  5. Step 5: Solve for x
    x = 34,483,955.72/8,311.98
  6. Step 6: Final answer
    x = 4,148.71

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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.