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Finding the Fourth Proportional to 7,842.86, 11,753.90 and 3,675.41

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Solution

The fourth proportional to 7,842.86, 11,753.90 and 3,675.41 is: 5,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.86 : 11,753.90 = 3,675.41 : x
  2. Step 2: Convert to fraction form
    7,842.86/11,753.90 = 3,675.41/x
  3. Step 3: Cross multiply
    7,842.86x = 11,753.90 × 3,675.41
  4. Step 4: Simplify right side
    7,842.86x = 43,200,382.31
  5. Step 5: Solve for x
    x = 43,200,382.31/7,842.86
  6. Step 6: Final answer
    x = 5,508.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.