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Finding the Fourth Proportional to 7,570.14, 11,340.91 and 3,874.71

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Solution

The fourth proportional to 7,570.14, 11,340.91 and 3,874.71 is: 5,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.14 : 11,340.91 = 3,874.71 : x
  2. Step 2: Convert to fraction form
    7,570.14/11,340.91 = 3,874.71/x
  3. Step 3: Cross multiply
    7,570.14x = 11,340.91 × 3,874.71
  4. Step 4: Simplify right side
    7,570.14x = 43,942,737.39
  5. Step 5: Solve for x
    x = 43,942,737.39/7,570.14
  6. Step 6: Final answer
    x = 5,804.75

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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.