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Finding the Fourth Proportional to 11,958.08, 17,914.08 and 5,806.40

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Solution

The fourth proportional to 11,958.08, 17,914.08 and 5,806.40 is: 8,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.08 : 17,914.08 = 5,806.40 : x
  2. Step 2: Convert to fraction form
    11,958.08/17,914.08 = 5,806.40/x
  3. Step 3: Cross multiply
    11,958.08x = 17,914.08 × 5,806.40
  4. Step 4: Simplify right side
    11,958.08x = 104,016,314.11
  5. Step 5: Solve for x
    x = 104,016,314.11/11,958.08
  6. Step 6: Final answer
    x = 8,698.41

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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.