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Finding the Fourth Proportional to 10,960.81, 16,429.11 and 6,999.60

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Solution

The fourth proportional to 10,960.81, 16,429.11 and 6,999.60 is: 10,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.81 : 16,429.11 = 6,999.60 : x
  2. Step 2: Convert to fraction form
    10,960.81/16,429.11 = 6,999.60/x
  3. Step 3: Cross multiply
    10,960.81x = 16,429.11 × 6,999.60
  4. Step 4: Simplify right side
    10,960.81x = 114,997,198.36
  5. Step 5: Solve for x
    x = 114,997,198.36/10,960.81
  6. Step 6: Final answer
    x = 10,491.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.