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Finding the Fourth Proportional to 7,801.44, 11,701.26 and 1,957.61

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Solution

The fourth proportional to 7,801.44, 11,701.26 and 1,957.61 is: 2,936.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.44 : 11,701.26 = 1,957.61 : x
  2. Step 2: Convert to fraction form
    7,801.44/11,701.26 = 1,957.61/x
  3. Step 3: Cross multiply
    7,801.44x = 11,701.26 × 1,957.61
  4. Step 4: Simplify right side
    7,801.44x = 22,906,445.08
  5. Step 5: Solve for x
    x = 22,906,445.08/7,801.44
  6. Step 6: Final answer
    x = 2,936.18

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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.