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Finding the Fourth Proportional to 7,206.54, 10,809.66 and 2,012.28

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Solution

The fourth proportional to 7,206.54, 10,809.66 and 2,012.28 is: 3,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.54 : 10,809.66 = 2,012.28 : x
  2. Step 2: Convert to fraction form
    7,206.54/10,809.66 = 2,012.28/x
  3. Step 3: Cross multiply
    7,206.54x = 10,809.66 × 2,012.28
  4. Step 4: Simplify right side
    7,206.54x = 21,752,062.62
  5. Step 5: Solve for x
    x = 21,752,062.62/7,206.54
  6. Step 6: Final answer
    x = 3,018.38

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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.