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Finding the Fourth Proportional to 8,092.82, 12,140.66 and 3,348.98

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Solution

The fourth proportional to 8,092.82, 12,140.66 and 3,348.98 is: 5,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.82 : 12,140.66 = 3,348.98 : x
  2. Step 2: Convert to fraction form
    8,092.82/12,140.66 = 3,348.98/x
  3. Step 3: Cross multiply
    8,092.82x = 12,140.66 × 3,348.98
  4. Step 4: Simplify right side
    8,092.82x = 40,658,827.53
  5. Step 5: Solve for x
    x = 40,658,827.53/8,092.82
  6. Step 6: Final answer
    x = 5,024.06

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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.