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Finding the Fourth Proportional to 7,824.87, 10,797.98 and 4,288.23

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Solution

The fourth proportional to 7,824.87, 10,797.98 and 4,288.23 is: 5,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.87 : 10,797.98 = 4,288.23 : x
  2. Step 2: Convert to fraction form
    7,824.87/10,797.98 = 4,288.23/x
  3. Step 3: Cross multiply
    7,824.87x = 10,797.98 × 4,288.23
  4. Step 4: Simplify right side
    7,824.87x = 46,304,200.33
  5. Step 5: Solve for x
    x = 46,304,200.33/7,824.87
  6. Step 6: Final answer
    x = 5,917.57

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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.