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Finding the Fourth Proportional to 7,150.64, 10,731 and 3,202.88

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Solution

The fourth proportional to 7,150.64, 10,731 and 3,202.88 is: 4,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.64 : 10,731 = 3,202.88 : x
  2. Step 2: Convert to fraction form
    7,150.64/10,731 = 3,202.88/x
  3. Step 3: Cross multiply
    7,150.64x = 10,731 × 3,202.88
  4. Step 4: Simplify right side
    7,150.64x = 34,370,105.28
  5. Step 5: Solve for x
    x = 34,370,105.28/7,150.64
  6. Step 6: Final answer
    x = 4,806.58

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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.