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Finding the Fourth Proportional to 11,961.67, 16,505.24 and 6,656.47

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Solution

The fourth proportional to 11,961.67, 16,505.24 and 6,656.47 is: 9,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.67 : 16,505.24 = 6,656.47 : x
  2. Step 2: Convert to fraction form
    11,961.67/16,505.24 = 6,656.47/x
  3. Step 3: Cross multiply
    11,961.67x = 16,505.24 × 6,656.47
  4. Step 4: Simplify right side
    11,961.67x = 109,866,585.32
  5. Step 5: Solve for x
    x = 109,866,585.32/11,961.67
  6. Step 6: Final answer
    x = 9,184.89

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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.