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Finding the Fourth Proportional to 7,857.40, 11,778.78 and 2,659.64

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Solution

The fourth proportional to 7,857.40, 11,778.78 and 2,659.64 is: 3,986.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.40 : 11,778.78 = 2,659.64 : x
  2. Step 2: Convert to fraction form
    7,857.40/11,778.78 = 2,659.64/x
  3. Step 3: Cross multiply
    7,857.40x = 11,778.78 × 2,659.64
  4. Step 4: Simplify right side
    7,857.40x = 31,327,314.44
  5. Step 5: Solve for x
    x = 31,327,314.44/7,857.40
  6. Step 6: Final answer
    x = 3,986.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.