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Finding the Fourth Proportional to 7,206.69, 10,811.71 and 2,824.19

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Solution

The fourth proportional to 7,206.69, 10,811.71 and 2,824.19 is: 4,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.69 : 10,811.71 = 2,824.19 : x
  2. Step 2: Convert to fraction form
    7,206.69/10,811.71 = 2,824.19/x
  3. Step 3: Cross multiply
    7,206.69x = 10,811.71 × 2,824.19
  4. Step 4: Simplify right side
    7,206.69x = 30,534,323.26
  5. Step 5: Solve for x
    x = 30,534,323.26/7,206.69
  6. Step 6: Final answer
    x = 4,236.94

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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.