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Finding the Fourth Proportional to 7,208.69, 10,814.00 and 2,527.61

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Solution

The fourth proportional to 7,208.69, 10,814.00 and 2,527.61 is: 3,791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.69 : 10,814.00 = 2,527.61 : x
  2. Step 2: Convert to fraction form
    7,208.69/10,814.00 = 2,527.61/x
  3. Step 3: Cross multiply
    7,208.69x = 10,814.00 × 2,527.61
  4. Step 4: Simplify right side
    7,208.69x = 27,333,507.83
  5. Step 5: Solve for x
    x = 27,333,507.83/7,208.69
  6. Step 6: Final answer
    x = 3,791.75

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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.