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Finding the Fourth Proportional to 7,223.41, 10,832.05 and 2,291.73

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Solution

The fourth proportional to 7,223.41, 10,832.05 and 2,291.73 is: 3,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.41 : 10,832.05 = 2,291.73 : x
  2. Step 2: Convert to fraction form
    7,223.41/10,832.05 = 2,291.73/x
  3. Step 3: Cross multiply
    7,223.41x = 10,832.05 × 2,291.73
  4. Step 4: Simplify right side
    7,223.41x = 24,824,133.95
  5. Step 5: Solve for x
    x = 24,824,133.95/7,223.41
  6. Step 6: Final answer
    x = 3,436.62

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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.