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Finding the Fourth Proportional to 10,212.67, 14,091.67 and 5,736.61

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Solution

The fourth proportional to 10,212.67, 14,091.67 and 5,736.61 is: 7,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.67 : 14,091.67 = 5,736.61 : x
  2. Step 2: Convert to fraction form
    10,212.67/14,091.67 = 5,736.61/x
  3. Step 3: Cross multiply
    10,212.67x = 14,091.67 × 5,736.61
  4. Step 4: Simplify right side
    10,212.67x = 80,838,415.04
  5. Step 5: Solve for x
    x = 80,838,415.04/10,212.67
  6. Step 6: Final answer
    x = 7,915.50

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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.