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Finding the Fourth Proportional to 7,097.28, 10,644.16 and 3,202.80

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Solution

The fourth proportional to 7,097.28, 10,644.16 and 3,202.80 is: 4,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.28 : 10,644.16 = 3,202.80 : x
  2. Step 2: Convert to fraction form
    7,097.28/10,644.16 = 3,202.80/x
  3. Step 3: Cross multiply
    7,097.28x = 10,644.16 × 3,202.80
  4. Step 4: Simplify right side
    7,097.28x = 34,091,115.65
  5. Step 5: Solve for x
    x = 34,091,115.65/7,097.28
  6. Step 6: Final answer
    x = 4,803.41

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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.