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Finding the Fourth Proportional to 6,805.70, 10,197.36 and 4,203.26

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Solution

The fourth proportional to 6,805.70, 10,197.36 and 4,203.26 is: 6,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.70 : 10,197.36 = 4,203.26 : x
  2. Step 2: Convert to fraction form
    6,805.70/10,197.36 = 4,203.26/x
  3. Step 3: Cross multiply
    6,805.70x = 10,197.36 × 4,203.26
  4. Step 4: Simplify right side
    6,805.70x = 42,862,155.39
  5. Step 5: Solve for x
    x = 42,862,155.39/6,805.70
  6. Step 6: Final answer
    x = 6,297.98

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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.