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Finding the Fourth Proportional to 11,667.72, 16,101.84 and 6,362.28

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Solution

The fourth proportional to 11,667.72, 16,101.84 and 6,362.28 is: 8,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.72 : 16,101.84 = 6,362.28 : x
  2. Step 2: Convert to fraction form
    11,667.72/16,101.84 = 6,362.28/x
  3. Step 3: Cross multiply
    11,667.72x = 16,101.84 × 6,362.28
  4. Step 4: Simplify right side
    11,667.72x = 102,444,414.60
  5. Step 5: Solve for x
    x = 102,444,414.60/11,667.72
  6. Step 6: Final answer
    x = 8,780.16

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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.