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Finding the Fourth Proportional to 8,083.74, 11,155.44 and 4,546.95

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Solution

The fourth proportional to 8,083.74, 11,155.44 and 4,546.95 is: 6,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.74 : 11,155.44 = 4,546.95 : x
  2. Step 2: Convert to fraction form
    8,083.74/11,155.44 = 4,546.95/x
  3. Step 3: Cross multiply
    8,083.74x = 11,155.44 × 4,546.95
  4. Step 4: Simplify right side
    8,083.74x = 50,723,227.91
  5. Step 5: Solve for x
    x = 50,723,227.91/8,083.74
  6. Step 6: Final answer
    x = 6,274.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.