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Finding the Fourth Proportional to 7,321.49, 10,982.13 and 1,774.88

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Solution

The fourth proportional to 7,321.49, 10,982.13 and 1,774.88 is: 2,662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.49 : 10,982.13 = 1,774.88 : x
  2. Step 2: Convert to fraction form
    7,321.49/10,982.13 = 1,774.88/x
  3. Step 3: Cross multiply
    7,321.49x = 10,982.13 × 1,774.88
  4. Step 4: Simplify right side
    7,321.49x = 19,491,949.17
  5. Step 5: Solve for x
    x = 19,491,949.17/7,321.49
  6. Step 6: Final answer
    x = 2,662.29

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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.