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Finding the Fourth Proportional to 10,801.69, 14,906.33 and 5,833.69

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Solution

The fourth proportional to 10,801.69, 14,906.33 and 5,833.69 is: 8,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.69 : 14,906.33 = 5,833.69 : x
  2. Step 2: Convert to fraction form
    10,801.69/14,906.33 = 5,833.69/x
  3. Step 3: Cross multiply
    10,801.69x = 14,906.33 × 5,833.69
  4. Step 4: Simplify right side
    10,801.69x = 86,958,863.70
  5. Step 5: Solve for x
    x = 86,958,863.70/10,801.69
  6. Step 6: Final answer
    x = 8,050.49

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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.