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Finding the Fourth Proportional to 7,320, 10,980 and 3,427.14

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Solution

The fourth proportional to 7,320, 10,980 and 3,427.14 is: 5,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,320 : 10,980 = 3,427.14 : x
  2. Step 2: Convert to fraction form
    7,320/10,980 = 3,427.14/x
  3. Step 3: Cross multiply
    7,320x = 10,980 × 3,427.14
  4. Step 4: Simplify right side
    7,320x = 37,629,997.20
  5. Step 5: Solve for x
    x = 37,629,997.20/7,320
  6. Step 6: Final answer
    x = 5,140.71

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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.