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Finding the Fourth Proportional to 10,434.92, 15,651.12 and 2,643.80

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Solution

The fourth proportional to 10,434.92, 15,651.12 and 2,643.80 is: 3,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.92 : 15,651.12 = 2,643.80 : x
  2. Step 2: Convert to fraction form
    10,434.92/15,651.12 = 2,643.80/x
  3. Step 3: Cross multiply
    10,434.92x = 15,651.12 × 2,643.80
  4. Step 4: Simplify right side
    10,434.92x = 41,378,431.06
  5. Step 5: Solve for x
    x = 41,378,431.06/10,434.92
  6. Step 6: Final answer
    x = 3,965.38

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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.