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Finding the Fourth Proportional to 7,843.17, 11,766.50 and 2,648.91

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Solution

The fourth proportional to 7,843.17, 11,766.50 and 2,648.91 is: 3,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.17 : 11,766.50 = 2,648.91 : x
  2. Step 2: Convert to fraction form
    7,843.17/11,766.50 = 2,648.91/x
  3. Step 3: Cross multiply
    7,843.17x = 11,766.50 × 2,648.91
  4. Step 4: Simplify right side
    7,843.17x = 31,168,366.98
  5. Step 5: Solve for x
    x = 31,168,366.98/7,843.17
  6. Step 6: Final answer
    x = 3,973.95

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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.