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Finding the Fourth Proportional to 11,722.32, 16,174.08 and 7,529.76

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Solution

The fourth proportional to 11,722.32, 16,174.08 and 7,529.76 is: 10,389.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.32 : 16,174.08 = 7,529.76 : x
  2. Step 2: Convert to fraction form
    11,722.32/16,174.08 = 7,529.76/x
  3. Step 3: Cross multiply
    11,722.32x = 16,174.08 × 7,529.76
  4. Step 4: Simplify right side
    11,722.32x = 121,786,940.62
  5. Step 5: Solve for x
    x = 121,786,940.62/11,722.32
  6. Step 6: Final answer
    x = 10,389.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.