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Finding the Fourth Proportional to 10,706.67, 14,775.89 and 5,991.30

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Solution

The fourth proportional to 10,706.67, 14,775.89 and 5,991.30 is: 8,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.67 : 14,775.89 = 5,991.30 : x
  2. Step 2: Convert to fraction form
    10,706.67/14,775.89 = 5,991.30/x
  3. Step 3: Cross multiply
    10,706.67x = 14,775.89 × 5,991.30
  4. Step 4: Simplify right side
    10,706.67x = 88,526,759.80
  5. Step 5: Solve for x
    x = 88,526,759.80/10,706.67
  6. Step 6: Final answer
    x = 8,268.37

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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.