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Finding the Fourth Proportional to 6,903.64, 10,358.94 and 3,201.70

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Solution

The fourth proportional to 6,903.64, 10,358.94 and 3,201.70 is: 4,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.64 : 10,358.94 = 3,201.70 : x
  2. Step 2: Convert to fraction form
    6,903.64/10,358.94 = 3,201.70/x
  3. Step 3: Cross multiply
    6,903.64x = 10,358.94 × 3,201.70
  4. Step 4: Simplify right side
    6,903.64x = 33,166,218.20
  5. Step 5: Solve for x
    x = 33,166,218.20/6,903.64
  6. Step 6: Final answer
    x = 4,804.16

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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.