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Finding the Fourth Proportional to 7,745.04, 10,696.86 and 5,997.78

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Solution

The fourth proportional to 7,745.04, 10,696.86 and 5,997.78 is: 8,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.04 : 10,696.86 = 5,997.78 : x
  2. Step 2: Convert to fraction form
    7,745.04/10,696.86 = 5,997.78/x
  3. Step 3: Cross multiply
    7,745.04x = 10,696.86 × 5,997.78
  4. Step 4: Simplify right side
    7,745.04x = 64,157,412.97
  5. Step 5: Solve for x
    x = 64,157,412.97/7,745.04
  6. Step 6: Final answer
    x = 8,283.68

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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.