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Finding the Fourth Proportional to 11,611.77, 16,024.19 and 6,306.59

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Solution

The fourth proportional to 11,611.77, 16,024.19 and 6,306.59 is: 8,703.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.77 : 16,024.19 = 6,306.59 : x
  2. Step 2: Convert to fraction form
    11,611.77/16,024.19 = 6,306.59/x
  3. Step 3: Cross multiply
    11,611.77x = 16,024.19 × 6,306.59
  4. Step 4: Simplify right side
    11,611.77x = 101,057,884.76
  5. Step 5: Solve for x
    x = 101,057,884.76/11,611.77
  6. Step 6: Final answer
    x = 8,703.06

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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.