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Finding the Fourth Proportional to 10,178.97, 15,268.41 and 3,605.64

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Solution

The fourth proportional to 10,178.97, 15,268.41 and 3,605.64 is: 5,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.97 : 15,268.41 = 3,605.64 : x
  2. Step 2: Convert to fraction form
    10,178.97/15,268.41 = 3,605.64/x
  3. Step 3: Cross multiply
    10,178.97x = 15,268.41 × 3,605.64
  4. Step 4: Simplify right side
    10,178.97x = 55,052,389.83
  5. Step 5: Solve for x
    x = 55,052,389.83/10,178.97
  6. Step 6: Final answer
    x = 5,408.44

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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.