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Finding the Fourth Proportional to 11,756.25, 17,623.04 and 3,960.81

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Solution

The fourth proportional to 11,756.25, 17,623.04 and 3,960.81 is: 5,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.25 : 17,623.04 = 3,960.81 : x
  2. Step 2: Convert to fraction form
    11,756.25/17,623.04 = 3,960.81/x
  3. Step 3: Cross multiply
    11,756.25x = 17,623.04 × 3,960.81
  4. Step 4: Simplify right side
    11,756.25x = 69,801,513.06
  5. Step 5: Solve for x
    x = 69,801,513.06/11,756.25
  6. Step 6: Final answer
    x = 5,937.40

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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.