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Finding the Fourth Proportional to 11,961.38, 16,506.61 and 6,656.22

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Solution

The fourth proportional to 11,961.38, 16,506.61 and 6,656.22 is: 9,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.38 : 16,506.61 = 6,656.22 : x
  2. Step 2: Convert to fraction form
    11,961.38/16,506.61 = 6,656.22/x
  3. Step 3: Cross multiply
    11,961.38x = 16,506.61 × 6,656.22
  4. Step 4: Simplify right side
    11,961.38x = 109,871,627.61
  5. Step 5: Solve for x
    x = 109,871,627.61/11,961.38
  6. Step 6: Final answer
    x = 9,185.53

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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.