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Finding the Fourth Proportional to 10,433.36, 15,640.30 and 3,503

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Solution

The fourth proportional to 10,433.36, 15,640.30 and 3,503 is: 5,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.36 : 15,640.30 = 3,503 : x
  2. Step 2: Convert to fraction form
    10,433.36/15,640.30 = 3,503/x
  3. Step 3: Cross multiply
    10,433.36x = 15,640.30 × 3,503
  4. Step 4: Simplify right side
    10,433.36x = 54,787,970.90
  5. Step 5: Solve for x
    x = 54,787,970.90/10,433.36
  6. Step 6: Final answer
    x = 5,251.23

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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.