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Finding the Fourth Proportional to 7,220, 10,828.37 and 2,286.95

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Solution

The fourth proportional to 7,220, 10,828.37 and 2,286.95 is: 3,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220 : 10,828.37 = 2,286.95 : x
  2. Step 2: Convert to fraction form
    7,220/10,828.37 = 2,286.95/x
  3. Step 3: Cross multiply
    7,220x = 10,828.37 × 2,286.95
  4. Step 4: Simplify right side
    7,220x = 24,763,940.77
  5. Step 5: Solve for x
    x = 24,763,940.77/7,220
  6. Step 6: Final answer
    x = 3,429.91

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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.