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Finding the Fourth Proportional to 8,537.22, 11,763.09 and 5,737.86

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Solution

The fourth proportional to 8,537.22, 11,763.09 and 5,737.86 is: 7,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.22 : 11,763.09 = 5,737.86 : x
  2. Step 2: Convert to fraction form
    8,537.22/11,763.09 = 5,737.86/x
  3. Step 3: Cross multiply
    8,537.22x = 11,763.09 × 5,737.86
  4. Step 4: Simplify right side
    8,537.22x = 67,494,963.59
  5. Step 5: Solve for x
    x = 67,494,963.59/8,537.22
  6. Step 6: Final answer
    x = 7,905.97

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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.