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Finding the Fourth Proportional to 11,696.49, 16,141.59 and 6,391.62

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Solution

The fourth proportional to 11,696.49, 16,141.59 and 6,391.62 is: 8,820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.49 : 16,141.59 = 6,391.62 : x
  2. Step 2: Convert to fraction form
    11,696.49/16,141.59 = 6,391.62/x
  3. Step 3: Cross multiply
    11,696.49x = 16,141.59 × 6,391.62
  4. Step 4: Simplify right side
    11,696.49x = 103,170,909.48
  5. Step 5: Solve for x
    x = 103,170,909.48/11,696.49
  6. Step 6: Final answer
    x = 8,820.67

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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.