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Finding the Fourth Proportional to 10,783.71, 16,175.42 and 3,388.62

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Solution

The fourth proportional to 10,783.71, 16,175.42 and 3,388.62 is: 5,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.71 : 16,175.42 = 3,388.62 : x
  2. Step 2: Convert to fraction form
    10,783.71/16,175.42 = 3,388.62/x
  3. Step 3: Cross multiply
    10,783.71x = 16,175.42 × 3,388.62
  4. Step 4: Simplify right side
    10,783.71x = 54,812,334.78
  5. Step 5: Solve for x
    x = 54,812,334.78/10,783.71
  6. Step 6: Final answer
    x = 5,082.88

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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.