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Finding the Fourth Proportional to 10,871.70, 16,313.82 and 5,874.08

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Solution

The fourth proportional to 10,871.70, 16,313.82 and 5,874.08 is: 8,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.70 : 16,313.82 = 5,874.08 : x
  2. Step 2: Convert to fraction form
    10,871.70/16,313.82 = 5,874.08/x
  3. Step 3: Cross multiply
    10,871.70x = 16,313.82 × 5,874.08
  4. Step 4: Simplify right side
    10,871.70x = 95,828,695.20
  5. Step 5: Solve for x
    x = 95,828,695.20/10,871.70
  6. Step 6: Final answer
    x = 8,814.51

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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.