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Finding the Fourth Proportional to 11,611.86, 16,024.53 and 6,306.66

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Solution

The fourth proportional to 11,611.86, 16,024.53 and 6,306.66 is: 8,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.86 : 16,024.53 = 6,306.66 : x
  2. Step 2: Convert to fraction form
    11,611.86/16,024.53 = 6,306.66/x
  3. Step 3: Cross multiply
    11,611.86x = 16,024.53 × 6,306.66
  4. Step 4: Simplify right side
    11,611.86x = 101,061,262.37
  5. Step 5: Solve for x
    x = 101,061,262.37/11,611.86
  6. Step 6: Final answer
    x = 8,703.28

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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.