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Finding the Fourth Proportional to 11,796, 17,696.16 and 4,002.72

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Solution

The fourth proportional to 11,796, 17,696.16 and 4,002.72 is: 6,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 17,696.16 = 4,002.72 : x
  2. Step 2: Convert to fraction form
    11,796/17,696.16 = 4,002.72/x
  3. Step 3: Cross multiply
    11,796x = 17,696.16 × 4,002.72
  4. Step 4: Simplify right side
    11,796x = 70,832,773.56
  5. Step 5: Solve for x
    x = 70,832,773.56/11,796
  6. Step 6: Final answer
    x = 6,004.81

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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.