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Finding the Fourth Proportional to 6,805.52, 10,208.66 and 2,126.18

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Solution

The fourth proportional to 6,805.52, 10,208.66 and 2,126.18 is: 3,189.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.52 : 10,208.66 = 2,126.18 : x
  2. Step 2: Convert to fraction form
    6,805.52/10,208.66 = 2,126.18/x
  3. Step 3: Cross multiply
    6,805.52x = 10,208.66 × 2,126.18
  4. Step 4: Simplify right side
    6,805.52x = 21,705,448.72
  5. Step 5: Solve for x
    x = 21,705,448.72/6,805.52
  6. Step 6: Final answer
    x = 3,189.39

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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.