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Finding the Fourth Proportional to 7,214.69, 10,822.97 and 2,534.36

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Solution

The fourth proportional to 7,214.69, 10,822.97 and 2,534.36 is: 3,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.69 : 10,822.97 = 2,534.36 : x
  2. Step 2: Convert to fraction form
    7,214.69/10,822.97 = 2,534.36/x
  3. Step 3: Cross multiply
    7,214.69x = 10,822.97 × 2,534.36
  4. Step 4: Simplify right side
    7,214.69x = 27,429,289.58
  5. Step 5: Solve for x
    x = 27,429,289.58/7,214.69
  6. Step 6: Final answer
    x = 3,801.87

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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.