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Finding the Fourth Proportional to 11,961.60, 16,507.20 and 6,656.64

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Solution

The fourth proportional to 11,961.60, 16,507.20 and 6,656.64 is: 9,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.60 : 16,507.20 = 6,656.64 : x
  2. Step 2: Convert to fraction form
    11,961.60/16,507.20 = 6,656.64/x
  3. Step 3: Cross multiply
    11,961.60x = 16,507.20 × 6,656.64
  4. Step 4: Simplify right side
    11,961.60x = 109,882,487.81
  5. Step 5: Solve for x
    x = 109,882,487.81/11,961.60
  6. Step 6: Final answer
    x = 9,186.27

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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.