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Finding the Fourth Proportional to 7,195.44, 10,792.64 and 2,266.49

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Solution

The fourth proportional to 7,195.44, 10,792.64 and 2,266.49 is: 3,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.44 : 10,792.64 = 2,266.49 : x
  2. Step 2: Convert to fraction form
    7,195.44/10,792.64 = 2,266.49/x
  3. Step 3: Cross multiply
    7,195.44x = 10,792.64 × 2,266.49
  4. Step 4: Simplify right side
    7,195.44x = 24,461,417.04
  5. Step 5: Solve for x
    x = 24,461,417.04/7,195.44
  6. Step 6: Final answer
    x = 3,399.57

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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.