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Finding the Fourth Proportional to 6,899.64, 10,355.22 and 2,743.48

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Solution

The fourth proportional to 6,899.64, 10,355.22 and 2,743.48 is: 4,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.64 : 10,355.22 = 2,743.48 : x
  2. Step 2: Convert to fraction form
    6,899.64/10,355.22 = 2,743.48/x
  3. Step 3: Cross multiply
    6,899.64x = 10,355.22 × 2,743.48
  4. Step 4: Simplify right side
    6,899.64x = 28,409,338.97
  5. Step 5: Solve for x
    x = 28,409,338.97/6,899.64
  6. Step 6: Final answer
    x = 4,117.51

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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.