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Finding the Fourth Proportional to 11,836.70, 16,284.32 and 11,508.66

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Solution

The fourth proportional to 11,836.70, 16,284.32 and 11,508.66 is: 15,833.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.70 : 16,284.32 = 11,508.66 : x
  2. Step 2: Convert to fraction form
    11,836.70/16,284.32 = 11,508.66/x
  3. Step 3: Cross multiply
    11,836.70x = 16,284.32 × 11,508.66
  4. Step 4: Simplify right side
    11,836.70x = 187,410,702.21
  5. Step 5: Solve for x
    x = 187,410,702.21/11,836.70
  6. Step 6: Final answer
    x = 15,833.02

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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.