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Finding the Fourth Proportional to 11,817, 17,725.60 and 3,052

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Solution

The fourth proportional to 11,817, 17,725.60 and 3,052 is: 4,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817 : 17,725.60 = 3,052 : x
  2. Step 2: Convert to fraction form
    11,817/17,725.60 = 3,052/x
  3. Step 3: Cross multiply
    11,817x = 17,725.60 × 3,052
  4. Step 4: Simplify right side
    11,817x = 54,098,531.20
  5. Step 5: Solve for x
    x = 54,098,531.20/11,817
  6. Step 6: Final answer
    x = 4,578.03

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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.