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Finding the Fourth Proportional to 10,020.70, 15,033.10 and 3,446.03

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Solution

The fourth proportional to 10,020.70, 15,033.10 and 3,446.03 is: 5,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.70 : 15,033.10 = 3,446.03 : x
  2. Step 2: Convert to fraction form
    10,020.70/15,033.10 = 3,446.03/x
  3. Step 3: Cross multiply
    10,020.70x = 15,033.10 × 3,446.03
  4. Step 4: Simplify right side
    10,020.70x = 51,804,513.59
  5. Step 5: Solve for x
    x = 51,804,513.59/10,020.70
  6. Step 6: Final answer
    x = 5,169.75

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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.