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Finding the Fourth Proportional to 6,918.09, 10,377.09 and 3,218.28

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Solution

The fourth proportional to 6,918.09, 10,377.09 and 3,218.28 is: 4,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918.09 : 10,377.09 = 3,218.28 : x
  2. Step 2: Convert to fraction form
    6,918.09/10,377.09 = 3,218.28/x
  3. Step 3: Cross multiply
    6,918.09x = 10,377.09 × 3,218.28
  4. Step 4: Simplify right side
    6,918.09x = 33,396,329.32
  5. Step 5: Solve for x
    x = 33,396,329.32/6,918.09
  6. Step 6: Final answer
    x = 4,827.40

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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.