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Finding the Fourth Proportional to 11,259.34, 16,865.94 and 6,318.60

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Solution

The fourth proportional to 11,259.34, 16,865.94 and 6,318.60 is: 9,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259.34 : 16,865.94 = 6,318.60 : x
  2. Step 2: Convert to fraction form
    11,259.34/16,865.94 = 6,318.60/x
  3. Step 3: Cross multiply
    11,259.34x = 16,865.94 × 6,318.60
  4. Step 4: Simplify right side
    11,259.34x = 106,569,183.80
  5. Step 5: Solve for x
    x = 106,569,183.80/11,259.34
  6. Step 6: Final answer
    x = 9,464.96

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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.