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Finding the Fourth Proportional to 10,222.92, 15,321.36 and 4,679.28

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Solution

The fourth proportional to 10,222.92, 15,321.36 and 4,679.28 is: 7,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.92 : 15,321.36 = 4,679.28 : x
  2. Step 2: Convert to fraction form
    10,222.92/15,321.36 = 4,679.28/x
  3. Step 3: Cross multiply
    10,222.92x = 15,321.36 × 4,679.28
  4. Step 4: Simplify right side
    10,222.92x = 71,692,933.42
  5. Step 5: Solve for x
    x = 71,692,933.42/10,222.92
  6. Step 6: Final answer
    x = 7,012.96

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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.