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Finding the Fourth Proportional to 10,755.48, 14,842.71 and 5,975.54

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Solution

The fourth proportional to 10,755.48, 14,842.71 and 5,975.54 is: 8,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.48 : 14,842.71 = 5,975.54 : x
  2. Step 2: Convert to fraction form
    10,755.48/14,842.71 = 5,975.54/x
  3. Step 3: Cross multiply
    10,755.48x = 14,842.71 × 5,975.54
  4. Step 4: Simplify right side
    10,755.48x = 88,693,133.10
  5. Step 5: Solve for x
    x = 88,693,133.10/10,755.48
  6. Step 6: Final answer
    x = 8,246.32

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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.