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Finding the Fourth Proportional to 8,596.31, 11,863.64 and 4,963.53

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Solution

The fourth proportional to 8,596.31, 11,863.64 and 4,963.53 is: 6,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.31 : 11,863.64 = 4,963.53 : x
  2. Step 2: Convert to fraction form
    8,596.31/11,863.64 = 4,963.53/x
  3. Step 3: Cross multiply
    8,596.31x = 11,863.64 × 4,963.53
  4. Step 4: Simplify right side
    8,596.31x = 58,885,545.46
  5. Step 5: Solve for x
    x = 58,885,545.46/8,596.31
  6. Step 6: Final answer
    x = 6,850.09

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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.