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Finding the Fourth Proportional to 7,932.48, 11,893.79 and 5,464.51

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Solution

The fourth proportional to 7,932.48, 11,893.79 and 5,464.51 is: 8,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.48 : 11,893.79 = 5,464.51 : x
  2. Step 2: Convert to fraction form
    7,932.48/11,893.79 = 5,464.51/x
  3. Step 3: Cross multiply
    7,932.48x = 11,893.79 × 5,464.51
  4. Step 4: Simplify right side
    7,932.48x = 64,993,754.48
  5. Step 5: Solve for x
    x = 64,993,754.48/7,932.48
  6. Step 6: Final answer
    x = 8,193.37

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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.