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Finding the Fourth Proportional to 11,970.72, 17,956.52 and 6,120.48

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Solution

The fourth proportional to 11,970.72, 17,956.52 and 6,120.48 is: 9,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.72 : 17,956.52 = 6,120.48 : x
  2. Step 2: Convert to fraction form
    11,970.72/17,956.52 = 6,120.48/x
  3. Step 3: Cross multiply
    11,970.72x = 17,956.52 × 6,120.48
  4. Step 4: Simplify right side
    11,970.72x = 109,902,521.53
  5. Step 5: Solve for x
    x = 109,902,521.53/11,970.72
  6. Step 6: Final answer
    x = 9,180.94

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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.