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Finding the Fourth Proportional to 7,163.60, 10,733.88 and 6,011.60

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Solution

The fourth proportional to 7,163.60, 10,733.88 and 6,011.60 is: 9,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.60 : 10,733.88 = 6,011.60 : x
  2. Step 2: Convert to fraction form
    7,163.60/10,733.88 = 6,011.60/x
  3. Step 3: Cross multiply
    7,163.60x = 10,733.88 × 6,011.60
  4. Step 4: Simplify right side
    7,163.60x = 64,527,793.01
  5. Step 5: Solve for x
    x = 64,527,793.01/7,163.60
  6. Step 6: Final answer
    x = 9,007.73

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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.