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Finding the Fourth Proportional to 11,297.71, 16,952.85 and 5,057.47

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Solution

The fourth proportional to 11,297.71, 16,952.85 and 5,057.47 is: 7,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.71 : 16,952.85 = 5,057.47 : x
  2. Step 2: Convert to fraction form
    11,297.71/16,952.85 = 5,057.47/x
  3. Step 3: Cross multiply
    11,297.71x = 16,952.85 × 5,057.47
  4. Step 4: Simplify right side
    11,297.71x = 85,738,530.29
  5. Step 5: Solve for x
    x = 85,738,530.29/11,297.71
  6. Step 6: Final answer
    x = 7,589.02

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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.