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Finding the Fourth Proportional to 7,924.69, 11,887.34 and 3,542.19

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Solution

The fourth proportional to 7,924.69, 11,887.34 and 3,542.19 is: 5,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.69 : 11,887.34 = 3,542.19 : x
  2. Step 2: Convert to fraction form
    7,924.69/11,887.34 = 3,542.19/x
  3. Step 3: Cross multiply
    7,924.69x = 11,887.34 × 3,542.19
  4. Step 4: Simplify right side
    7,924.69x = 42,107,216.87
  5. Step 5: Solve for x
    x = 42,107,216.87/7,924.69
  6. Step 6: Final answer
    x = 5,313.42

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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.