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Finding the Fourth Proportional to 6,798.60, 10,174.14 and 5,884.92

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Solution

The fourth proportional to 6,798.60, 10,174.14 and 5,884.92 is: 8,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.60 : 10,174.14 = 5,884.92 : x
  2. Step 2: Convert to fraction form
    6,798.60/10,174.14 = 5,884.92/x
  3. Step 3: Cross multiply
    6,798.60x = 10,174.14 × 5,884.92
  4. Step 4: Simplify right side
    6,798.60x = 59,873,999.97
  5. Step 5: Solve for x
    x = 59,873,999.97/6,798.60
  6. Step 6: Final answer
    x = 8,806.81

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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.