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Finding the Fourth Proportional to 10,806.84, 14,914.08 and 6,091.56

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Solution

The fourth proportional to 10,806.84, 14,914.08 and 6,091.56 is: 8,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.84 : 14,914.08 = 6,091.56 : x
  2. Step 2: Convert to fraction form
    10,806.84/14,914.08 = 6,091.56/x
  3. Step 3: Cross multiply
    10,806.84x = 14,914.08 × 6,091.56
  4. Step 4: Simplify right side
    10,806.84x = 90,850,013.16
  5. Step 5: Solve for x
    x = 90,850,013.16/10,806.84
  6. Step 6: Final answer
    x = 8,406.71

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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.