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Finding the Fourth Proportional to 11,538.50, 17,310.67 and 3,218.51

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Solution

The fourth proportional to 11,538.50, 17,310.67 and 3,218.51 is: 4,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.50 : 17,310.67 = 3,218.51 : x
  2. Step 2: Convert to fraction form
    11,538.50/17,310.67 = 3,218.51/x
  3. Step 3: Cross multiply
    11,538.50x = 17,310.67 × 3,218.51
  4. Step 4: Simplify right side
    11,538.50x = 55,714,548.41
  5. Step 5: Solve for x
    x = 55,714,548.41/11,538.50
  6. Step 6: Final answer
    x = 4,828.58

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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.