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Finding the Fourth Proportional to 8,141.78, 11,233.83 and 4,956.74

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Solution

The fourth proportional to 8,141.78, 11,233.83 and 4,956.74 is: 6,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.78 : 11,233.83 = 4,956.74 : x
  2. Step 2: Convert to fraction form
    8,141.78/11,233.83 = 4,956.74/x
  3. Step 3: Cross multiply
    8,141.78x = 11,233.83 × 4,956.74
  4. Step 4: Simplify right side
    8,141.78x = 55,683,118.35
  5. Step 5: Solve for x
    x = 55,683,118.35/8,141.78
  6. Step 6: Final answer
    x = 6,839.19

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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.