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Finding the Fourth Proportional to 11,137.86, 16,706.16 and 3,133.15

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Solution

The fourth proportional to 11,137.86, 16,706.16 and 3,133.15 is: 4,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.86 : 16,706.16 = 3,133.15 : x
  2. Step 2: Convert to fraction form
    11,137.86/16,706.16 = 3,133.15/x
  3. Step 3: Cross multiply
    11,137.86x = 16,706.16 × 3,133.15
  4. Step 4: Simplify right side
    11,137.86x = 52,342,863.44
  5. Step 5: Solve for x
    x = 52,342,863.44/11,137.86
  6. Step 6: Final answer
    x = 4,699.54

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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.