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Finding the Fourth Proportional to 8,511.53, 11,721.71 and 6,149.93

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Solution

The fourth proportional to 8,511.53, 11,721.71 and 6,149.93 is: 8,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.53 : 11,721.71 = 6,149.93 : x
  2. Step 2: Convert to fraction form
    8,511.53/11,721.71 = 6,149.93/x
  3. Step 3: Cross multiply
    8,511.53x = 11,721.71 × 6,149.93
  4. Step 4: Simplify right side
    8,511.53x = 72,087,652.75
  5. Step 5: Solve for x
    x = 72,087,652.75/8,511.53
  6. Step 6: Final answer
    x = 8,469.42

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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.