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Finding the Fourth Proportional to 7,462.81, 11,184.12 and 2,843.29

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Solution

The fourth proportional to 7,462.81, 11,184.12 and 2,843.29 is: 4,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.81 : 11,184.12 = 2,843.29 : x
  2. Step 2: Convert to fraction form
    7,462.81/11,184.12 = 2,843.29/x
  3. Step 3: Cross multiply
    7,462.81x = 11,184.12 × 2,843.29
  4. Step 4: Simplify right side
    7,462.81x = 31,799,696.55
  5. Step 5: Solve for x
    x = 31,799,696.55/7,462.81
  6. Step 6: Final answer
    x = 4,261.09

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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.