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Finding the Fourth Proportional to 11,722.11, 17,586.20 and 8,638.84

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Solution

The fourth proportional to 11,722.11, 17,586.20 and 8,638.84 is: 12,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.11 : 17,586.20 = 8,638.84 : x
  2. Step 2: Convert to fraction form
    11,722.11/17,586.20 = 8,638.84/x
  3. Step 3: Cross multiply
    11,722.11x = 17,586.20 × 8,638.84
  4. Step 4: Simplify right side
    11,722.11x = 151,924,368.01
  5. Step 5: Solve for x
    x = 151,924,368.01/11,722.11
  6. Step 6: Final answer
    x = 12,960.50

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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.