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Finding the Fourth Proportional to 10,322.24, 15,469.68 and 5,396

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Solution

The fourth proportional to 10,322.24, 15,469.68 and 5,396 is: 8,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.24 : 15,469.68 = 5,396 : x
  2. Step 2: Convert to fraction form
    10,322.24/15,469.68 = 5,396/x
  3. Step 3: Cross multiply
    10,322.24x = 15,469.68 × 5,396
  4. Step 4: Simplify right side
    10,322.24x = 83,474,393.28
  5. Step 5: Solve for x
    x = 83,474,393.28/10,322.24
  6. Step 6: Final answer
    x = 8,086.85

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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.