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Finding the Fourth Proportional to 11,599, 16,019.82 and 7,866.52

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Solution

The fourth proportional to 11,599, 16,019.82 and 7,866.52 is: 10,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599 : 16,019.82 = 7,866.52 : x
  2. Step 2: Convert to fraction form
    11,599/16,019.82 = 7,866.52/x
  3. Step 3: Cross multiply
    11,599x = 16,019.82 × 7,866.52
  4. Step 4: Simplify right side
    11,599x = 126,020,234.43
  5. Step 5: Solve for x
    x = 126,020,234.43/11,599
  6. Step 6: Final answer
    x = 10,864.75

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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.