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Finding the Fourth Proportional to 7,801.67, 11,691.54 and 5,199.14

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Solution

The fourth proportional to 7,801.67, 11,691.54 and 5,199.14 is: 7,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.67 : 11,691.54 = 5,199.14 : x
  2. Step 2: Convert to fraction form
    7,801.67/11,691.54 = 5,199.14/x
  3. Step 3: Cross multiply
    7,801.67x = 11,691.54 × 5,199.14
  4. Step 4: Simplify right side
    7,801.67x = 60,785,953.28
  5. Step 5: Solve for x
    x = 60,785,953.28/7,801.67
  6. Step 6: Final answer
    x = 7,791.40

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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.