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Finding the Fourth Proportional to 11,967.24, 17,951.08 and 5,212.14

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Solution

The fourth proportional to 11,967.24, 17,951.08 and 5,212.14 is: 7,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.24 : 17,951.08 = 5,212.14 : x
  2. Step 2: Convert to fraction form
    11,967.24/17,951.08 = 5,212.14/x
  3. Step 3: Cross multiply
    11,967.24x = 17,951.08 × 5,212.14
  4. Step 4: Simplify right side
    11,967.24x = 93,563,542.11
  5. Step 5: Solve for x
    x = 93,563,542.11/11,967.24
  6. Step 6: Final answer
    x = 7,818.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.