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Finding the Fourth Proportional to 10,969.49, 15,137.94 and 5,933.76

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Solution

The fourth proportional to 10,969.49, 15,137.94 and 5,933.76 is: 8,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.49 : 15,137.94 = 5,933.76 : x
  2. Step 2: Convert to fraction form
    10,969.49/15,137.94 = 5,933.76/x
  3. Step 3: Cross multiply
    10,969.49x = 15,137.94 × 5,933.76
  4. Step 4: Simplify right side
    10,969.49x = 89,824,902.85
  5. Step 5: Solve for x
    x = 89,824,902.85/10,969.49
  6. Step 6: Final answer
    x = 8,188.61

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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.