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Finding the Fourth Proportional to 7,214.54, 10,813.10 and 3,511.22

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Solution

The fourth proportional to 7,214.54, 10,813.10 and 3,511.22 is: 5,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.54 : 10,813.10 = 3,511.22 : x
  2. Step 2: Convert to fraction form
    7,214.54/10,813.10 = 3,511.22/x
  3. Step 3: Cross multiply
    7,214.54x = 10,813.10 × 3,511.22
  4. Step 4: Simplify right side
    7,214.54x = 37,967,101.36
  5. Step 5: Solve for x
    x = 37,967,101.36/7,214.54
  6. Step 6: Final answer
    x = 5,262.58

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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.