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Finding the Fourth Proportional to 10,960.40, 16,408.20 and 9,664.40

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Solution

The fourth proportional to 10,960.40, 16,408.20 and 9,664.40 is: 14,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.40 : 16,408.20 = 9,664.40 : x
  2. Step 2: Convert to fraction form
    10,960.40/16,408.20 = 9,664.40/x
  3. Step 3: Cross multiply
    10,960.40x = 16,408.20 × 9,664.40
  4. Step 4: Simplify right side
    10,960.40x = 158,575,408.08
  5. Step 5: Solve for x
    x = 158,575,408.08/10,960.40
  6. Step 6: Final answer
    x = 14,468.03

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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.