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Finding the Fourth Proportional to 8,331.78, 12,497.66 and 2,783.86

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Solution

The fourth proportional to 8,331.78, 12,497.66 and 2,783.86 is: 4,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.78 : 12,497.66 = 2,783.86 : x
  2. Step 2: Convert to fraction form
    8,331.78/12,497.66 = 2,783.86/x
  3. Step 3: Cross multiply
    8,331.78x = 12,497.66 × 2,783.86
  4. Step 4: Simplify right side
    8,331.78x = 34,791,735.77
  5. Step 5: Solve for x
    x = 34,791,735.77/8,331.78
  6. Step 6: Final answer
    x = 4,175.79

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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.