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Finding the Fourth Proportional to 8,092.95, 12,141.17 and 4,584.62

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Solution

The fourth proportional to 8,092.95, 12,141.17 and 4,584.62 is: 6,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.95 : 12,141.17 = 4,584.62 : x
  2. Step 2: Convert to fraction form
    8,092.95/12,141.17 = 4,584.62/x
  3. Step 3: Cross multiply
    8,092.95x = 12,141.17 × 4,584.62
  4. Step 4: Simplify right side
    8,092.95x = 55,662,567.18
  5. Step 5: Solve for x
    x = 55,662,567.18/8,092.95
  6. Step 6: Final answer
    x = 6,877.91

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