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Finding the Fourth Proportional to 7,794.38, 11,687.78 and 2,598.50

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Solution

The fourth proportional to 7,794.38, 11,687.78 and 2,598.50 is: 3,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.38 : 11,687.78 = 2,598.50 : x
  2. Step 2: Convert to fraction form
    7,794.38/11,687.78 = 2,598.50/x
  3. Step 3: Cross multiply
    7,794.38x = 11,687.78 × 2,598.50
  4. Step 4: Simplify right side
    7,794.38x = 30,370,696.33
  5. Step 5: Solve for x
    x = 30,370,696.33/7,794.38
  6. Step 6: Final answer
    x = 3,896.49

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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.