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Finding the Fourth Proportional to 10,708.35, 14,777.39 and 5,992.67

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Solution

The fourth proportional to 10,708.35, 14,777.39 and 5,992.67 is: 8,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.35 : 14,777.39 = 5,992.67 : x
  2. Step 2: Convert to fraction form
    10,708.35/14,777.39 = 5,992.67/x
  3. Step 3: Cross multiply
    10,708.35x = 14,777.39 × 5,992.67
  4. Step 4: Simplify right side
    10,708.35x = 88,556,021.73
  5. Step 5: Solve for x
    x = 88,556,021.73/10,708.35
  6. Step 6: Final answer
    x = 8,269.81

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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.