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Finding the Fourth Proportional to 8,317.44, 12,471.98 and 2,768.81

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Solution

The fourth proportional to 8,317.44, 12,471.98 and 2,768.81 is: 4,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.44 : 12,471.98 = 2,768.81 : x
  2. Step 2: Convert to fraction form
    8,317.44/12,471.98 = 2,768.81/x
  3. Step 3: Cross multiply
    8,317.44x = 12,471.98 × 2,768.81
  4. Step 4: Simplify right side
    8,317.44x = 34,532,466.74
  5. Step 5: Solve for x
    x = 34,532,466.74/8,317.44
  6. Step 6: Final answer
    x = 4,151.81

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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.