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Finding the Fourth Proportional to 11,311.52, 16,964 and 4,737.52

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Solution

The fourth proportional to 11,311.52, 16,964 and 4,737.52 is: 7,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.52 : 16,964 = 4,737.52 : x
  2. Step 2: Convert to fraction form
    11,311.52/16,964 = 4,737.52/x
  3. Step 3: Cross multiply
    11,311.52x = 16,964 × 4,737.52
  4. Step 4: Simplify right side
    11,311.52x = 80,367,289.28
  5. Step 5: Solve for x
    x = 80,367,289.28/11,311.52
  6. Step 6: Final answer
    x = 7,104.91

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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.