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Finding the Fourth Proportional to 7,874.43, 11,804.36 and 4,409.25

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Solution

The fourth proportional to 7,874.43, 11,804.36 and 4,409.25 is: 6,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.43 : 11,804.36 = 4,409.25 : x
  2. Step 2: Convert to fraction form
    7,874.43/11,804.36 = 4,409.25/x
  3. Step 3: Cross multiply
    7,874.43x = 11,804.36 × 4,409.25
  4. Step 4: Simplify right side
    7,874.43x = 52,048,352.28
  5. Step 5: Solve for x
    x = 52,048,352.28/7,874.43
  6. Step 6: Final answer
    x = 6,609.79

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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.