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Finding the Fourth Proportional to 7,842.87, 11,767.39 and 3,457.26

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Solution

The fourth proportional to 7,842.87, 11,767.39 and 3,457.26 is: 5,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.87 : 11,767.39 = 3,457.26 : x
  2. Step 2: Convert to fraction form
    7,842.87/11,767.39 = 3,457.26/x
  3. Step 3: Cross multiply
    7,842.87x = 11,767.39 × 3,457.26
  4. Step 4: Simplify right side
    7,842.87x = 40,682,918.11
  5. Step 5: Solve for x
    x = 40,682,918.11/7,842.87
  6. Step 6: Final answer
    x = 5,187.25

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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.