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Finding the Fourth Proportional to 10,384.50, 15,581.31 and 5,452.99

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Solution

The fourth proportional to 10,384.50, 15,581.31 and 5,452.99 is: 8,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.50 : 15,581.31 = 5,452.99 : x
  2. Step 2: Convert to fraction form
    10,384.50/15,581.31 = 5,452.99/x
  3. Step 3: Cross multiply
    10,384.50x = 15,581.31 × 5,452.99
  4. Step 4: Simplify right side
    10,384.50x = 84,964,727.62
  5. Step 5: Solve for x
    x = 84,964,727.62/10,384.50
  6. Step 6: Final answer
    x = 8,181.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.