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Finding the Fourth Proportional to 11,961.72, 16,507.20 and 6,656.58

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Solution

The fourth proportional to 11,961.72, 16,507.20 and 6,656.58 is: 9,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.72 : 16,507.20 = 6,656.58 : x
  2. Step 2: Convert to fraction form
    11,961.72/16,507.20 = 6,656.58/x
  3. Step 3: Cross multiply
    11,961.72x = 16,507.20 × 6,656.58
  4. Step 4: Simplify right side
    11,961.72x = 109,881,497.38
  5. Step 5: Solve for x
    x = 109,881,497.38/11,961.72
  6. Step 6: Final answer
    x = 9,186.10

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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.