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Finding the Fourth Proportional to 10,707.69, 14,776.62 and 5,991.96

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Solution

The fourth proportional to 10,707.69, 14,776.62 and 5,991.96 is: 8,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.69 : 14,776.62 = 5,991.96 : x
  2. Step 2: Convert to fraction form
    10,707.69/14,776.62 = 5,991.96/x
  3. Step 3: Cross multiply
    10,707.69x = 14,776.62 × 5,991.96
  4. Step 4: Simplify right side
    10,707.69x = 88,540,915.98
  5. Step 5: Solve for x
    x = 88,540,915.98/10,707.69
  6. Step 6: Final answer
    x = 8,268.91

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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.