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Finding the Fourth Proportional to 7,213.56, 10,815.30 and 3,928.20

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Solution

The fourth proportional to 7,213.56, 10,815.30 and 3,928.20 is: 5,889.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.56 : 10,815.30 = 3,928.20 : x
  2. Step 2: Convert to fraction form
    7,213.56/10,815.30 = 3,928.20/x
  3. Step 3: Cross multiply
    7,213.56x = 10,815.30 × 3,928.20
  4. Step 4: Simplify right side
    7,213.56x = 42,484,661.46
  5. Step 5: Solve for x
    x = 42,484,661.46/7,213.56
  6. Step 6: Final answer
    x = 5,889.56

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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.