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Finding the Fourth Proportional to 6,710.16, 10,064.90 and 3,197.60

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Solution

The fourth proportional to 6,710.16, 10,064.90 and 3,197.60 is: 4,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.16 : 10,064.90 = 3,197.60 : x
  2. Step 2: Convert to fraction form
    6,710.16/10,064.90 = 3,197.60/x
  3. Step 3: Cross multiply
    6,710.16x = 10,064.90 × 3,197.60
  4. Step 4: Simplify right side
    6,710.16x = 32,183,524.24
  5. Step 5: Solve for x
    x = 32,183,524.24/6,710.16
  6. Step 6: Final answer
    x = 4,796.24

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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.