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Finding the Fourth Proportional to 6,865.09, 10,297.63 and 6,733.87

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Solution

The fourth proportional to 6,865.09, 10,297.63 and 6,733.87 is: 10,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.09 : 10,297.63 = 6,733.87 : x
  2. Step 2: Convert to fraction form
    6,865.09/10,297.63 = 6,733.87/x
  3. Step 3: Cross multiply
    6,865.09x = 10,297.63 × 6,733.87
  4. Step 4: Simplify right side
    6,865.09x = 69,342,884.40
  5. Step 5: Solve for x
    x = 69,342,884.40/6,865.09
  6. Step 6: Final answer
    x = 10,100.80

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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.