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Finding the Fourth Proportional to 10,704.64, 16,051.20 and 10,508.80

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Solution

The fourth proportional to 10,704.64, 16,051.20 and 10,508.80 is: 15,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.64 : 16,051.20 = 10,508.80 : x
  2. Step 2: Convert to fraction form
    10,704.64/16,051.20 = 10,508.80/x
  3. Step 3: Cross multiply
    10,704.64x = 16,051.20 × 10,508.80
  4. Step 4: Simplify right side
    10,704.64x = 168,678,850.56
  5. Step 5: Solve for x
    x = 168,678,850.56/10,704.64
  6. Step 6: Final answer
    x = 15,757.55

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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.