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Finding the Fourth Proportional to 11,958.40, 16,502.56 and 6,653.09

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Solution

The fourth proportional to 11,958.40, 16,502.56 and 6,653.09 is: 9,181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.40 : 16,502.56 = 6,653.09 : x
  2. Step 2: Convert to fraction form
    11,958.40/16,502.56 = 6,653.09/x
  3. Step 3: Cross multiply
    11,958.40x = 16,502.56 × 6,653.09
  4. Step 4: Simplify right side
    11,958.40x = 109,793,016.91
  5. Step 5: Solve for x
    x = 109,793,016.91/11,958.40
  6. Step 6: Final answer
    x = 9,181.25

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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.