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Finding the Fourth Proportional to 7,219.84, 10,822.32 and 2,776.30

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Solution

The fourth proportional to 7,219.84, 10,822.32 and 2,776.30 is: 4,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.84 : 10,822.32 = 2,776.30 : x
  2. Step 2: Convert to fraction form
    7,219.84/10,822.32 = 2,776.30/x
  3. Step 3: Cross multiply
    7,219.84x = 10,822.32 × 2,776.30
  4. Step 4: Simplify right side
    7,219.84x = 30,046,007.02
  5. Step 5: Solve for x
    x = 30,046,007.02/7,219.84
  6. Step 6: Final answer
    x = 4,161.59

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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.