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Finding the Fourth Proportional to 8,414.24, 11,611.03 and 4,877.38

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Solution

The fourth proportional to 8,414.24, 11,611.03 and 4,877.38 is: 6,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.24 : 11,611.03 = 4,877.38 : x
  2. Step 2: Convert to fraction form
    8,414.24/11,611.03 = 4,877.38/x
  3. Step 3: Cross multiply
    8,414.24x = 11,611.03 × 4,877.38
  4. Step 4: Simplify right side
    8,414.24x = 56,631,405.50
  5. Step 5: Solve for x
    x = 56,631,405.50/8,414.24
  6. Step 6: Final answer
    x = 6,730.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.