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Finding the Fourth Proportional to 7,227.84, 10,842.18 and 2,844.12

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Solution

The fourth proportional to 7,227.84, 10,842.18 and 2,844.12 is: 4,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.84 : 10,842.18 = 2,844.12 : x
  2. Step 2: Convert to fraction form
    7,227.84/10,842.18 = 2,844.12/x
  3. Step 3: Cross multiply
    7,227.84x = 10,842.18 × 2,844.12
  4. Step 4: Simplify right side
    7,227.84x = 30,836,460.98
  5. Step 5: Solve for x
    x = 30,836,460.98/7,227.84
  6. Step 6: Final answer
    x = 4,266.35

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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.