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Finding the Fourth Proportional to 11,702.94, 16,142.67 and 8,164.86

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Solution

The fourth proportional to 11,702.94, 16,142.67 and 8,164.86 is: 11,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.94 : 16,142.67 = 8,164.86 : x
  2. Step 2: Convert to fraction form
    11,702.94/16,142.67 = 8,164.86/x
  3. Step 3: Cross multiply
    11,702.94x = 16,142.67 × 8,164.86
  4. Step 4: Simplify right side
    11,702.94x = 131,802,640.58
  5. Step 5: Solve for x
    x = 131,802,640.58/11,702.94
  6. Step 6: Final answer
    x = 11,262.35

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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.