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Finding the Fourth Proportional to 7,135.20, 10,715.60 and 5,189.60

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Solution

The fourth proportional to 7,135.20, 10,715.60 and 5,189.60 is: 7,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.20 : 10,715.60 = 5,189.60 : x
  2. Step 2: Convert to fraction form
    7,135.20/10,715.60 = 5,189.60/x
  3. Step 3: Cross multiply
    7,135.20x = 10,715.60 × 5,189.60
  4. Step 4: Simplify right side
    7,135.20x = 55,609,677.76
  5. Step 5: Solve for x
    x = 55,609,677.76/7,135.20
  6. Step 6: Final answer
    x = 7,793.71

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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.