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Finding the Fourth Proportional to 7,198.47, 10,795.28 and 2,814.75

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Solution

The fourth proportional to 7,198.47, 10,795.28 and 2,814.75 is: 4,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.47 : 10,795.28 = 2,814.75 : x
  2. Step 2: Convert to fraction form
    7,198.47/10,795.28 = 2,814.75/x
  3. Step 3: Cross multiply
    7,198.47x = 10,795.28 × 2,814.75
  4. Step 4: Simplify right side
    7,198.47x = 30,386,000.31
  5. Step 5: Solve for x
    x = 30,386,000.31/7,198.47
  6. Step 6: Final answer
    x = 4,221.17

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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.