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Finding the Fourth Proportional to 6,710.02, 10,067.02 and 3,204.48

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Solution

The fourth proportional to 6,710.02, 10,067.02 and 3,204.48 is: 4,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.02 : 10,067.02 = 3,204.48 : x
  2. Step 2: Convert to fraction form
    6,710.02/10,067.02 = 3,204.48/x
  3. Step 3: Cross multiply
    6,710.02x = 10,067.02 × 3,204.48
  4. Step 4: Simplify right side
    6,710.02x = 32,259,564.25
  5. Step 5: Solve for x
    x = 32,259,564.25/6,710.02
  6. Step 6: Final answer
    x = 4,807.67

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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.