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Finding the Fourth Proportional to 8,137.66, 11,229.84 and 4,600.74

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Solution

The fourth proportional to 8,137.66, 11,229.84 and 4,600.74 is: 6,348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.66 : 11,229.84 = 4,600.74 : x
  2. Step 2: Convert to fraction form
    8,137.66/11,229.84 = 4,600.74/x
  3. Step 3: Cross multiply
    8,137.66x = 11,229.84 × 4,600.74
  4. Step 4: Simplify right side
    8,137.66x = 51,665,574.08
  5. Step 5: Solve for x
    x = 51,665,574.08/8,137.66
  6. Step 6: Final answer
    x = 6,348.95

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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.