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Finding the Fourth Proportional to 7,321.44, 10,984.70 and 5,322

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Solution

The fourth proportional to 7,321.44, 10,984.70 and 5,322 is: 7,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.44 : 10,984.70 = 5,322 : x
  2. Step 2: Convert to fraction form
    7,321.44/10,984.70 = 5,322/x
  3. Step 3: Cross multiply
    7,321.44x = 10,984.70 × 5,322
  4. Step 4: Simplify right side
    7,321.44x = 58,460,573.40
  5. Step 5: Solve for x
    x = 58,460,573.40/7,321.44
  6. Step 6: Final answer
    x = 7,984.85

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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.