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Finding the Fourth Proportional to 7,797.53, 11,696.10 and 2,865.04

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Solution

The fourth proportional to 7,797.53, 11,696.10 and 2,865.04 is: 4,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.53 : 11,696.10 = 2,865.04 : x
  2. Step 2: Convert to fraction form
    7,797.53/11,696.10 = 2,865.04/x
  3. Step 3: Cross multiply
    7,797.53x = 11,696.10 × 2,865.04
  4. Step 4: Simplify right side
    7,797.53x = 33,509,754.36
  5. Step 5: Solve for x
    x = 33,509,754.36/7,797.53
  6. Step 6: Final answer
    x = 4,297.48

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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.