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Finding the Fourth Proportional to 11,991.29, 16,548.03 and 6,686.10

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Solution

The fourth proportional to 11,991.29, 16,548.03 and 6,686.10 is: 9,226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.29 : 16,548.03 = 6,686.10 : x
  2. Step 2: Convert to fraction form
    11,991.29/16,548.03 = 6,686.10/x
  3. Step 3: Cross multiply
    11,991.29x = 16,548.03 × 6,686.10
  4. Step 4: Simplify right side
    11,991.29x = 110,641,783.38
  5. Step 5: Solve for x
    x = 110,641,783.38/11,991.29
  6. Step 6: Final answer
    x = 9,226.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.