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Finding the Fourth Proportional to 28,286.41, 42,429.61 and 7,226.49

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Solution

The fourth proportional to 28,286.41, 42,429.61 and 7,226.49 is: 10,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,286.41 : 42,429.61 = 7,226.49 : x
  2. Step 2: Convert to fraction form
    28,286.41/42,429.61 = 7,226.49/x
  3. Step 3: Cross multiply
    28,286.41x = 42,429.61 × 7,226.49
  4. Step 4: Simplify right side
    28,286.41x = 306,617,258.44
  5. Step 5: Solve for x
    x = 306,617,258.44/28,286.41
  6. Step 6: Final answer
    x = 10,839.74

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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.