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Finding the Fourth Proportional to 6,807.45, 10,201.65 and 3,680.70

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Solution

The fourth proportional to 6,807.45, 10,201.65 and 3,680.70 is: 5,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.45 : 10,201.65 = 3,680.70 : x
  2. Step 2: Convert to fraction form
    6,807.45/10,201.65 = 3,680.70/x
  3. Step 3: Cross multiply
    6,807.45x = 10,201.65 × 3,680.70
  4. Step 4: Simplify right side
    6,807.45x = 37,549,213.16
  5. Step 5: Solve for x
    x = 37,549,213.16/6,807.45
  6. Step 6: Final answer
    x = 5,515.90

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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.