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Finding the Fourth Proportional to 7,186.69, 10,780.07 and 2,189.13

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Solution

The fourth proportional to 7,186.69, 10,780.07 and 2,189.13 is: 3,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.69 : 10,780.07 = 2,189.13 : x
  2. Step 2: Convert to fraction form
    7,186.69/10,780.07 = 2,189.13/x
  3. Step 3: Cross multiply
    7,186.69x = 10,780.07 × 2,189.13
  4. Step 4: Simplify right side
    7,186.69x = 23,598,974.64
  5. Step 5: Solve for x
    x = 23,598,974.64/7,186.69
  6. Step 6: Final answer
    x = 3,283.71

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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.