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Finding the Fourth Proportional to 8,476.95, 11,702.28 and 5,961.24

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Solution

The fourth proportional to 8,476.95, 11,702.28 and 5,961.24 is: 8,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.95 : 11,702.28 = 5,961.24 : x
  2. Step 2: Convert to fraction form
    8,476.95/11,702.28 = 5,961.24/x
  3. Step 3: Cross multiply
    8,476.95x = 11,702.28 × 5,961.24
  4. Step 4: Simplify right side
    8,476.95x = 69,760,099.63
  5. Step 5: Solve for x
    x = 69,760,099.63/8,476.95
  6. Step 6: Final answer
    x = 8,229.39

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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.