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Finding the Fourth Proportional to 6,364.68, 8,763.30 and 5,781.48

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Solution

The fourth proportional to 6,364.68, 8,763.30 and 5,781.48 is: 7,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.68 : 8,763.30 = 5,781.48 : x
  2. Step 2: Convert to fraction form
    6,364.68/8,763.30 = 5,781.48/x
  3. Step 3: Cross multiply
    6,364.68x = 8,763.30 × 5,781.48
  4. Step 4: Simplify right side
    6,364.68x = 50,664,843.68
  5. Step 5: Solve for x
    x = 50,664,843.68/6,364.68
  6. Step 6: Final answer
    x = 7,960.31

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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.