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Finding the Fourth Proportional to 11,627.46, 17,448.59 and 4,231.20

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Solution

The fourth proportional to 11,627.46, 17,448.59 and 4,231.20 is: 6,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.46 : 17,448.59 = 4,231.20 : x
  2. Step 2: Convert to fraction form
    11,627.46/17,448.59 = 4,231.20/x
  3. Step 3: Cross multiply
    11,627.46x = 17,448.59 × 4,231.20
  4. Step 4: Simplify right side
    11,627.46x = 73,828,474.01
  5. Step 5: Solve for x
    x = 73,828,474.01/11,627.46
  6. Step 6: Final answer
    x = 6,349.49

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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.