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Finding the Fourth Proportional to 11,467, 17,201.31 and 4,541.50

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Solution

The fourth proportional to 11,467, 17,201.31 and 4,541.50 is: 6,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467 : 17,201.31 = 4,541.50 : x
  2. Step 2: Convert to fraction form
    11,467/17,201.31 = 4,541.50/x
  3. Step 3: Cross multiply
    11,467x = 17,201.31 × 4,541.50
  4. Step 4: Simplify right side
    11,467x = 78,119,749.37
  5. Step 5: Solve for x
    x = 78,119,749.37/11,467
  6. Step 6: Final answer
    x = 6,812.57

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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.