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Finding the Fourth Proportional to 7,874.98, 11,804.37 and 3,494.50

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Solution

The fourth proportional to 7,874.98, 11,804.37 and 3,494.50 is: 5,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.98 : 11,804.37 = 3,494.50 : x
  2. Step 2: Convert to fraction form
    7,874.98/11,804.37 = 3,494.50/x
  3. Step 3: Cross multiply
    7,874.98x = 11,804.37 × 3,494.50
  4. Step 4: Simplify right side
    7,874.98x = 41,250,370.97
  5. Step 5: Solve for x
    x = 41,250,370.97/7,874.98
  6. Step 6: Final answer
    x = 5,238.16

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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.