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Finding the Fourth Proportional to 7,102.78, 9,796.98 and 5,608.30

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Solution

The fourth proportional to 7,102.78, 9,796.98 and 5,608.30 is: 7,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.78 : 9,796.98 = 5,608.30 : x
  2. Step 2: Convert to fraction form
    7,102.78/9,796.98 = 5,608.30/x
  3. Step 3: Cross multiply
    7,102.78x = 9,796.98 × 5,608.30
  4. Step 4: Simplify right side
    7,102.78x = 54,944,402.93
  5. Step 5: Solve for x
    x = 54,944,402.93/7,102.78
  6. Step 6: Final answer
    x = 7,735.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.