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Finding the Fourth Proportional to 7,196.34, 10,794.94 and 2,266.14

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Solution

The fourth proportional to 7,196.34, 10,794.94 and 2,266.14 is: 3,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.34 : 10,794.94 = 2,266.14 : x
  2. Step 2: Convert to fraction form
    7,196.34/10,794.94 = 2,266.14/x
  3. Step 3: Cross multiply
    7,196.34x = 10,794.94 × 2,266.14
  4. Step 4: Simplify right side
    7,196.34x = 24,462,845.33
  5. Step 5: Solve for x
    x = 24,462,845.33/7,196.34
  6. Step 6: Final answer
    x = 3,399.35

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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.