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Finding the Fourth Proportional to 7,776.74, 11,661.42 and 2,229.02

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Solution

The fourth proportional to 7,776.74, 11,661.42 and 2,229.02 is: 3,342.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.74 : 11,661.42 = 2,229.02 : x
  2. Step 2: Convert to fraction form
    7,776.74/11,661.42 = 2,229.02/x
  3. Step 3: Cross multiply
    7,776.74x = 11,661.42 × 2,229.02
  4. Step 4: Simplify right side
    7,776.74x = 25,993,538.41
  5. Step 5: Solve for x
    x = 25,993,538.41/7,776.74
  6. Step 6: Final answer
    x = 3,342.47

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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.