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Finding the Fourth Proportional to 10,696.11, 14,753.67 and 6,861.69

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Solution

The fourth proportional to 10,696.11, 14,753.67 and 6,861.69 is: 9,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.11 : 14,753.67 = 6,861.69 : x
  2. Step 2: Convert to fraction form
    10,696.11/14,753.67 = 6,861.69/x
  3. Step 3: Cross multiply
    10,696.11x = 14,753.67 × 6,861.69
  4. Step 4: Simplify right side
    10,696.11x = 101,235,109.90
  5. Step 5: Solve for x
    x = 101,235,109.90/10,696.11
  6. Step 6: Final answer
    x = 9,464.67

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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.