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Finding the Fourth Proportional to 6,891.36, 10,337 and 2,508.80

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Solution

The fourth proportional to 6,891.36, 10,337 and 2,508.80 is: 3,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.36 : 10,337 = 2,508.80 : x
  2. Step 2: Convert to fraction form
    6,891.36/10,337 = 2,508.80/x
  3. Step 3: Cross multiply
    6,891.36x = 10,337 × 2,508.80
  4. Step 4: Simplify right side
    6,891.36x = 25,933,465.60
  5. Step 5: Solve for x
    x = 25,933,465.60/6,891.36
  6. Step 6: Final answer
    x = 3,763.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.