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Finding the Fourth Proportional to 6,801.17, 10,194.73 and 2,854.72

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Solution

The fourth proportional to 6,801.17, 10,194.73 and 2,854.72 is: 4,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.17 : 10,194.73 = 2,854.72 : x
  2. Step 2: Convert to fraction form
    6,801.17/10,194.73 = 2,854.72/x
  3. Step 3: Cross multiply
    6,801.17x = 10,194.73 × 2,854.72
  4. Step 4: Simplify right side
    6,801.17x = 29,103,099.63
  5. Step 5: Solve for x
    x = 29,103,099.63/6,801.17
  6. Step 6: Final answer
    x = 4,279.13

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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.