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Finding the Fourth Proportional to 7,214.14, 10,822.29 and 2,282.14

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Solution

The fourth proportional to 7,214.14, 10,822.29 and 2,282.14 is: 3,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.14 : 10,822.29 = 2,282.14 : x
  2. Step 2: Convert to fraction form
    7,214.14/10,822.29 = 2,282.14/x
  3. Step 3: Cross multiply
    7,214.14x = 10,822.29 × 2,282.14
  4. Step 4: Simplify right side
    7,214.14x = 24,697,980.90
  5. Step 5: Solve for x
    x = 24,697,980.90/7,214.14
  6. Step 6: Final answer
    x = 3,423.55

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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.