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Finding the Fourth Proportional to 10,744.61, 16,114.82 and 5,406.37

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Solution

The fourth proportional to 10,744.61, 16,114.82 and 5,406.37 is: 8,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.61 : 16,114.82 = 5,406.37 : x
  2. Step 2: Convert to fraction form
    10,744.61/16,114.82 = 5,406.37/x
  3. Step 3: Cross multiply
    10,744.61x = 16,114.82 × 5,406.37
  4. Step 4: Simplify right side
    10,744.61x = 87,122,612.08
  5. Step 5: Solve for x
    x = 87,122,612.08/10,744.61
  6. Step 6: Final answer
    x = 8,108.50

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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.