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Finding the Fourth Proportional to 8,091.50, 12,138.59 and 2,827.98

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Solution

The fourth proportional to 8,091.50, 12,138.59 and 2,827.98 is: 4,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.50 : 12,138.59 = 2,827.98 : x
  2. Step 2: Convert to fraction form
    8,091.50/12,138.59 = 2,827.98/x
  3. Step 3: Cross multiply
    8,091.50x = 12,138.59 × 2,827.98
  4. Step 4: Simplify right side
    8,091.50x = 34,327,696.82
  5. Step 5: Solve for x
    x = 34,327,696.82/8,091.50
  6. Step 6: Final answer
    x = 4,242.44

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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.