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Finding the Fourth Proportional to 11,408.80, 16,011.20 and 11,408.80

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Solution

The fourth proportional to 11,408.80, 16,011.20 and 11,408.80 is: 16,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.80 : 16,011.20 = 11,408.80 : x
  2. Step 2: Convert to fraction form
    11,408.80/16,011.20 = 11,408.80/x
  3. Step 3: Cross multiply
    11,408.80x = 16,011.20 × 11,408.80
  4. Step 4: Simplify right side
    11,408.80x = 182,668,578.56
  5. Step 5: Solve for x
    x = 182,668,578.56/11,408.80
  6. Step 6: Final answer
    x = 16,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.