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Finding the Fourth Proportional to 7,211.58, 9,944.70 and 6,412.38

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Solution

The fourth proportional to 7,211.58, 9,944.70 and 6,412.38 is: 8,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.58 : 9,944.70 = 6,412.38 : x
  2. Step 2: Convert to fraction form
    7,211.58/9,944.70 = 6,412.38/x
  3. Step 3: Cross multiply
    7,211.58x = 9,944.70 × 6,412.38
  4. Step 4: Simplify right side
    7,211.58x = 63,769,195.39
  5. Step 5: Solve for x
    x = 63,769,195.39/7,211.58
  6. Step 6: Final answer
    x = 8,842.61

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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.