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Finding the Fourth Proportional to 10,674, 16,011 and 2,882.81

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Solution

The fourth proportional to 10,674, 16,011 and 2,882.81 is: 4,324.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 16,011 = 2,882.81 : x
  2. Step 2: Convert to fraction form
    10,674/16,011 = 2,882.81/x
  3. Step 3: Cross multiply
    10,674x = 16,011 × 2,882.81
  4. Step 4: Simplify right side
    10,674x = 46,156,710.94
  5. Step 5: Solve for x
    x = 46,156,710.94/10,674
  6. Step 6: Final answer
    x = 4,324.22

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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.