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Finding the Fourth Proportional to 11,611.85, 16,024.07 and 6,306.54

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Solution

The fourth proportional to 11,611.85, 16,024.07 and 6,306.54 is: 8,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.85 : 16,024.07 = 6,306.54 : x
  2. Step 2: Convert to fraction form
    11,611.85/16,024.07 = 6,306.54/x
  3. Step 3: Cross multiply
    11,611.85x = 16,024.07 × 6,306.54
  4. Step 4: Simplify right side
    11,611.85x = 101,056,406.89
  5. Step 5: Solve for x
    x = 101,056,406.89/11,611.85
  6. Step 6: Final answer
    x = 8,702.87

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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.