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Finding the Fourth Proportional to 7,033.57, 9,706.68 and 4,049.82

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Solution

The fourth proportional to 7,033.57, 9,706.68 and 4,049.82 is: 5,588.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.57 : 9,706.68 = 4,049.82 : x
  2. Step 2: Convert to fraction form
    7,033.57/9,706.68 = 4,049.82/x
  3. Step 3: Cross multiply
    7,033.57x = 9,706.68 × 4,049.82
  4. Step 4: Simplify right side
    7,033.57x = 39,310,306.80
  5. Step 5: Solve for x
    x = 39,310,306.80/7,033.57
  6. Step 6: Final answer
    x = 5,588.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.