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Finding the Fourth Proportional to 7,214.85, 10,822.68 and 2,021.13

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Solution

The fourth proportional to 7,214.85, 10,822.68 and 2,021.13 is: 3,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.85 : 10,822.68 = 2,021.13 : x
  2. Step 2: Convert to fraction form
    7,214.85/10,822.68 = 2,021.13/x
  3. Step 3: Cross multiply
    7,214.85x = 10,822.68 × 2,021.13
  4. Step 4: Simplify right side
    7,214.85x = 21,873,979.01
  5. Step 5: Solve for x
    x = 21,873,979.01/7,214.85
  6. Step 6: Final answer
    x = 3,031.80

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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.