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Finding the Fourth Proportional to 7,792.70, 11,694.16 and 2,862.38

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Solution

The fourth proportional to 7,792.70, 11,694.16 and 2,862.38 is: 4,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.70 : 11,694.16 = 2,862.38 : x
  2. Step 2: Convert to fraction form
    7,792.70/11,694.16 = 2,862.38/x
  3. Step 3: Cross multiply
    7,792.70x = 11,694.16 × 2,862.38
  4. Step 4: Simplify right side
    7,792.70x = 33,473,129.70
  5. Step 5: Solve for x
    x = 33,473,129.70/7,792.70
  6. Step 6: Final answer
    x = 4,295.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.