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Finding the Fourth Proportional to 11,665.82, 16,099.05 and 6,952.84

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Solution

The fourth proportional to 11,665.82, 16,099.05 and 6,952.84 is: 9,595.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.82 : 16,099.05 = 6,952.84 : x
  2. Step 2: Convert to fraction form
    11,665.82/16,099.05 = 6,952.84/x
  3. Step 3: Cross multiply
    11,665.82x = 16,099.05 × 6,952.84
  4. Step 4: Simplify right side
    11,665.82x = 111,934,104.63
  5. Step 5: Solve for x
    x = 111,934,104.63/11,665.82
  6. Step 6: Final answer
    x = 9,595.05

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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.