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Finding the Fourth Proportional to 10,463.63, 15,697.74 and 3,443.36

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Solution

The fourth proportional to 10,463.63, 15,697.74 and 3,443.36 is: 5,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.63 : 15,697.74 = 3,443.36 : x
  2. Step 2: Convert to fraction form
    10,463.63/15,697.74 = 3,443.36/x
  3. Step 3: Cross multiply
    10,463.63x = 15,697.74 × 3,443.36
  4. Step 4: Simplify right side
    10,463.63x = 54,052,891.52
  5. Step 5: Solve for x
    x = 54,052,891.52/10,463.63
  6. Step 6: Final answer
    x = 5,165.79

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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.