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Finding the Fourth Proportional to 11,961.98, 16,507.24 and 6,656.68

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Solution

The fourth proportional to 11,961.98, 16,507.24 and 6,656.68 is: 9,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.98 : 16,507.24 = 6,656.68 : x
  2. Step 2: Convert to fraction form
    11,961.98/16,507.24 = 6,656.68/x
  3. Step 3: Cross multiply
    11,961.98x = 16,507.24 × 6,656.68
  4. Step 4: Simplify right side
    11,961.98x = 109,883,331.83
  5. Step 5: Solve for x
    x = 109,883,331.83/11,961.98
  6. Step 6: Final answer
    x = 9,186.05

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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.