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Finding the Fourth Proportional to 10,791.28, 14,890.18 and 6,814.52

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Solution

The fourth proportional to 10,791.28, 14,890.18 and 6,814.52 is: 9,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.28 : 14,890.18 = 6,814.52 : x
  2. Step 2: Convert to fraction form
    10,791.28/14,890.18 = 6,814.52/x
  3. Step 3: Cross multiply
    10,791.28x = 14,890.18 × 6,814.52
  4. Step 4: Simplify right side
    10,791.28x = 101,469,429.41
  5. Step 5: Solve for x
    x = 101,469,429.41/10,791.28
  6. Step 6: Final answer
    x = 9,402.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.