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Finding the Fourth Proportional to 11,596.69, 16,016.75 and 7,635.52

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Solution

The fourth proportional to 11,596.69, 16,016.75 and 7,635.52 is: 10,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.69 : 16,016.75 = 7,635.52 : x
  2. Step 2: Convert to fraction form
    11,596.69/16,016.75 = 7,635.52/x
  3. Step 3: Cross multiply
    11,596.69x = 16,016.75 × 7,635.52
  4. Step 4: Simplify right side
    11,596.69x = 122,296,214.96
  5. Step 5: Solve for x
    x = 122,296,214.96/11,596.69
  6. Step 6: Final answer
    x = 10,545.79

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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.