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Finding the Fourth Proportional to 7,875.26, 11,793.50 and 5,093.42

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Solution

The fourth proportional to 7,875.26, 11,793.50 and 5,093.42 is: 7,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.26 : 11,793.50 = 5,093.42 : x
  2. Step 2: Convert to fraction form
    7,875.26/11,793.50 = 5,093.42/x
  3. Step 3: Cross multiply
    7,875.26x = 11,793.50 × 5,093.42
  4. Step 4: Simplify right side
    7,875.26x = 60,069,183.44
  5. Step 5: Solve for x
    x = 60,069,183.44/7,875.26
  6. Step 6: Final answer
    x = 7,627.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.