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Finding the Fourth Proportional to 10,755.69, 14,842.64 and 5,975.64

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Solution

The fourth proportional to 10,755.69, 14,842.64 and 5,975.64 is: 8,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.69 : 14,842.64 = 5,975.64 : x
  2. Step 2: Convert to fraction form
    10,755.69/14,842.64 = 5,975.64/x
  3. Step 3: Cross multiply
    10,755.69x = 14,842.64 × 5,975.64
  4. Step 4: Simplify right side
    10,755.69x = 88,694,288.23
  5. Step 5: Solve for x
    x = 88,694,288.23/10,755.69
  6. Step 6: Final answer
    x = 8,246.27

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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.