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Finding the Fourth Proportional to 6,803.20, 10,202.40 and 3,107.20

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Solution

The fourth proportional to 6,803.20, 10,202.40 and 3,107.20 is: 4,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.20 : 10,202.40 = 3,107.20 : x
  2. Step 2: Convert to fraction form
    6,803.20/10,202.40 = 3,107.20/x
  3. Step 3: Cross multiply
    6,803.20x = 10,202.40 × 3,107.20
  4. Step 4: Simplify right side
    6,803.20x = 31,700,897.28
  5. Step 5: Solve for x
    x = 31,700,897.28/6,803.20
  6. Step 6: Final answer
    x = 4,659.70

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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.