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Finding the Fourth Proportional to 7,711.38, 11,570.65 and 2,447.22

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Solution

The fourth proportional to 7,711.38, 11,570.65 and 2,447.22 is: 3,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.38 : 11,570.65 = 2,447.22 : x
  2. Step 2: Convert to fraction form
    7,711.38/11,570.65 = 2,447.22/x
  3. Step 3: Cross multiply
    7,711.38x = 11,570.65 × 2,447.22
  4. Step 4: Simplify right side
    7,711.38x = 28,315,926.09
  5. Step 5: Solve for x
    x = 28,315,926.09/7,711.38
  6. Step 6: Final answer
    x = 3,671.97

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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.