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Finding the Fourth Proportional to 7,227.42, 10,823.34 and 5,970.32

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Solution

The fourth proportional to 7,227.42, 10,823.34 and 5,970.32 is: 8,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.42 : 10,823.34 = 5,970.32 : x
  2. Step 2: Convert to fraction form
    7,227.42/10,823.34 = 5,970.32/x
  3. Step 3: Cross multiply
    7,227.42x = 10,823.34 × 5,970.32
  4. Step 4: Simplify right side
    7,227.42x = 64,618,799.57
  5. Step 5: Solve for x
    x = 64,618,799.57/7,227.42
  6. Step 6: Final answer
    x = 8,940.79

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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.