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Finding the Fourth Proportional to 11,704.80, 16,134.40 and 8,715.88

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Solution

The fourth proportional to 11,704.80, 16,134.40 and 8,715.88 is: 12,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.80 : 16,134.40 = 8,715.88 : x
  2. Step 2: Convert to fraction form
    11,704.80/16,134.40 = 8,715.88/x
  3. Step 3: Cross multiply
    11,704.80x = 16,134.40 × 8,715.88
  4. Step 4: Simplify right side
    11,704.80x = 140,625,494.27
  5. Step 5: Solve for x
    x = 140,625,494.27/11,704.80
  6. Step 6: Final answer
    x = 12,014.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.