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Finding the Fourth Proportional to 8,091.42, 12,136.61 and 4,761.50

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Solution

The fourth proportional to 8,091.42, 12,136.61 and 4,761.50 is: 7,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.42 : 12,136.61 = 4,761.50 : x
  2. Step 2: Convert to fraction form
    8,091.42/12,136.61 = 4,761.50/x
  3. Step 3: Cross multiply
    8,091.42x = 12,136.61 × 4,761.50
  4. Step 4: Simplify right side
    8,091.42x = 57,788,468.52
  5. Step 5: Solve for x
    x = 57,788,468.52/8,091.42
  6. Step 6: Final answer
    x = 7,141.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.