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Finding the Fourth Proportional to 7,834.36, 11,754.62 and 3,448.74

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Solution

The fourth proportional to 7,834.36, 11,754.62 and 3,448.74 is: 5,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.36 : 11,754.62 = 3,448.74 : x
  2. Step 2: Convert to fraction form
    7,834.36/11,754.62 = 3,448.74/x
  3. Step 3: Cross multiply
    7,834.36x = 11,754.62 × 3,448.74
  4. Step 4: Simplify right side
    7,834.36x = 40,538,610.94
  5. Step 5: Solve for x
    x = 40,538,610.94/7,834.36
  6. Step 6: Final answer
    x = 5,174.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.