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Finding the Fourth Proportional to 11,644.69, 16,073.72 and 6,928.87

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Solution

The fourth proportional to 11,644.69, 16,073.72 and 6,928.87 is: 9,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.69 : 16,073.72 = 6,928.87 : x
  2. Step 2: Convert to fraction form
    11,644.69/16,073.72 = 6,928.87/x
  3. Step 3: Cross multiply
    11,644.69x = 16,073.72 × 6,928.87
  4. Step 4: Simplify right side
    11,644.69x = 111,372,667.45
  5. Step 5: Solve for x
    x = 111,372,667.45/11,644.69
  6. Step 6: Final answer
    x = 9,564.25

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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.