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Finding the Fourth Proportional to 7,119.28, 10,680.16 and 3,428.16

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Solution

The fourth proportional to 7,119.28, 10,680.16 and 3,428.16 is: 5,142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.28 : 10,680.16 = 3,428.16 : x
  2. Step 2: Convert to fraction form
    7,119.28/10,680.16 = 3,428.16/x
  3. Step 3: Cross multiply
    7,119.28x = 10,680.16 × 3,428.16
  4. Step 4: Simplify right side
    7,119.28x = 36,613,297.31
  5. Step 5: Solve for x
    x = 36,613,297.31/7,119.28
  6. Step 6: Final answer
    x = 5,142.84

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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.