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Finding the Fourth Proportional to 11,611.87, 16,024.38 and 6,306.77

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Solution

The fourth proportional to 11,611.87, 16,024.38 and 6,306.77 is: 8,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.87 : 16,024.38 = 6,306.77 : x
  2. Step 2: Convert to fraction form
    11,611.87/16,024.38 = 6,306.77/x
  3. Step 3: Cross multiply
    11,611.87x = 16,024.38 × 6,306.77
  4. Step 4: Simplify right side
    11,611.87x = 101,062,079.05
  5. Step 5: Solve for x
    x = 101,062,079.05/11,611.87
  6. Step 6: Final answer
    x = 8,703.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.