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Finding the Fourth Proportional to 8,968.35, 12,381.86 and 5,782.78

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Solution

The fourth proportional to 8,968.35, 12,381.86 and 5,782.78 is: 7,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.35 : 12,381.86 = 5,782.78 : x
  2. Step 2: Convert to fraction form
    8,968.35/12,381.86 = 5,782.78/x
  3. Step 3: Cross multiply
    8,968.35x = 12,381.86 × 5,782.78
  4. Step 4: Simplify right side
    8,968.35x = 71,601,532.66
  5. Step 5: Solve for x
    x = 71,601,532.66/8,968.35
  6. Step 6: Final answer
    x = 7,983.80

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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.