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Finding the Fourth Proportional to 10,896.34, 16,318.60 and 6,269.62

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Solution

The fourth proportional to 10,896.34, 16,318.60 and 6,269.62 is: 9,389.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.34 : 16,318.60 = 6,269.62 : x
  2. Step 2: Convert to fraction form
    10,896.34/16,318.60 = 6,269.62/x
  3. Step 3: Cross multiply
    10,896.34x = 16,318.60 × 6,269.62
  4. Step 4: Simplify right side
    10,896.34x = 102,311,420.93
  5. Step 5: Solve for x
    x = 102,311,420.93/10,896.34
  6. Step 6: Final answer
    x = 9,389.52

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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.