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Finding the Fourth Proportional to 6,880.63, 10,320.09 and 2,201.13

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Solution

The fourth proportional to 6,880.63, 10,320.09 and 2,201.13 is: 3,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.63 : 10,320.09 = 2,201.13 : x
  2. Step 2: Convert to fraction form
    6,880.63/10,320.09 = 2,201.13/x
  3. Step 3: Cross multiply
    6,880.63x = 10,320.09 × 2,201.13
  4. Step 4: Simplify right side
    6,880.63x = 22,715,859.70
  5. Step 5: Solve for x
    x = 22,715,859.70/6,880.63
  6. Step 6: Final answer
    x = 3,301.42

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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.