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Finding the Fourth Proportional to 6,901.97, 10,344.32 and 5,435.33

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Solution

The fourth proportional to 6,901.97, 10,344.32 and 5,435.33 is: 8,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.97 : 10,344.32 = 5,435.33 : x
  2. Step 2: Convert to fraction form
    6,901.97/10,344.32 = 5,435.33/x
  3. Step 3: Cross multiply
    6,901.97x = 10,344.32 × 5,435.33
  4. Step 4: Simplify right side
    6,901.97x = 56,224,765.65
  5. Step 5: Solve for x
    x = 56,224,765.65/6,901.97
  6. Step 6: Final answer
    x = 8,146.19

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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.