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Finding the Fourth Proportional to 8,212.50, 11,338.46 and 5,693.70

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Solution

The fourth proportional to 8,212.50, 11,338.46 and 5,693.70 is: 7,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.50 : 11,338.46 = 5,693.70 : x
  2. Step 2: Convert to fraction form
    8,212.50/11,338.46 = 5,693.70/x
  3. Step 3: Cross multiply
    8,212.50x = 11,338.46 × 5,693.70
  4. Step 4: Simplify right side
    8,212.50x = 64,557,789.70
  5. Step 5: Solve for x
    x = 64,557,789.70/8,212.50
  6. Step 6: Final answer
    x = 7,860.92

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