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Finding the Fourth Proportional to 8,805, 13,204.72 and 2,960.23

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Solution

The fourth proportional to 8,805, 13,204.72 and 2,960.23 is: 4,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,805 : 13,204.72 = 2,960.23 : x
  2. Step 2: Convert to fraction form
    8,805/13,204.72 = 2,960.23/x
  3. Step 3: Cross multiply
    8,805x = 13,204.72 × 2,960.23
  4. Step 4: Simplify right side
    8,805x = 39,089,008.29
  5. Step 5: Solve for x
    x = 39,089,008.29/8,805
  6. Step 6: Final answer
    x = 4,439.41

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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.