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Finding the Fourth Proportional to 11,134.41, 16,702.13 and 6,200.33

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Solution

The fourth proportional to 11,134.41, 16,702.13 and 6,200.33 is: 9,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.41 : 16,702.13 = 6,200.33 : x
  2. Step 2: Convert to fraction form
    11,134.41/16,702.13 = 6,200.33/x
  3. Step 3: Cross multiply
    11,134.41x = 16,702.13 × 6,200.33
  4. Step 4: Simplify right side
    11,134.41x = 103,558,717.70
  5. Step 5: Solve for x
    x = 103,558,717.70/11,134.41
  6. Step 6: Final answer
    x = 9,300.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.