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Finding the Fourth Proportional to 11,742.22, 17,610 and 5,167

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Solution

The fourth proportional to 11,742.22, 17,610 and 5,167 is: 7,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742.22 : 17,610 = 5,167 : x
  2. Step 2: Convert to fraction form
    11,742.22/17,610 = 5,167/x
  3. Step 3: Cross multiply
    11,742.22x = 17,610 × 5,167
  4. Step 4: Simplify right side
    11,742.22x = 90,990,870
  5. Step 5: Solve for x
    x = 90,990,870/11,742.22
  6. Step 6: Final answer
    x = 7,749.03

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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.