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Finding the Fourth Proportional to 11,378.12, 15,715.85 and 8,035.83

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Solution

The fourth proportional to 11,378.12, 15,715.85 and 8,035.83 is: 11,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.12 : 15,715.85 = 8,035.83 : x
  2. Step 2: Convert to fraction form
    11,378.12/15,715.85 = 8,035.83/x
  3. Step 3: Cross multiply
    11,378.12x = 15,715.85 × 8,035.83
  4. Step 4: Simplify right side
    11,378.12x = 126,289,858.73
  5. Step 5: Solve for x
    x = 126,289,858.73/11,378.12
  6. Step 6: Final answer
    x = 11,099.37

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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.