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Finding the Fourth Proportional to 10,608.50, 14,639.33 and 5,893.09

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Solution

The fourth proportional to 10,608.50, 14,639.33 and 5,893.09 is: 8,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.50 : 14,639.33 = 5,893.09 : x
  2. Step 2: Convert to fraction form
    10,608.50/14,639.33 = 5,893.09/x
  3. Step 3: Cross multiply
    10,608.50x = 14,639.33 × 5,893.09
  4. Step 4: Simplify right side
    10,608.50x = 86,270,867.36
  5. Step 5: Solve for x
    x = 86,270,867.36/10,608.50
  6. Step 6: Final answer
    x = 8,132.24

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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.