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Finding the Fourth Proportional to 11,653.68, 16,082.52 and 6,349.08

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Solution

The fourth proportional to 11,653.68, 16,082.52 and 6,349.08 is: 8,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.68 : 16,082.52 = 6,349.08 : x
  2. Step 2: Convert to fraction form
    11,653.68/16,082.52 = 6,349.08/x
  3. Step 3: Cross multiply
    11,653.68x = 16,082.52 × 6,349.08
  4. Step 4: Simplify right side
    11,653.68x = 102,109,206.08
  5. Step 5: Solve for x
    x = 102,109,206.08/11,653.68
  6. Step 6: Final answer
    x = 8,761.97

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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.