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Finding the Fourth Proportional to 11,967.86, 17,951.82 and 3,202.76

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Solution

The fourth proportional to 11,967.86, 17,951.82 and 3,202.76 is: 4,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.86 : 17,951.82 = 3,202.76 : x
  2. Step 2: Convert to fraction form
    11,967.86/17,951.82 = 3,202.76/x
  3. Step 3: Cross multiply
    11,967.86x = 17,951.82 × 3,202.76
  4. Step 4: Simplify right side
    11,967.86x = 57,495,371.02
  5. Step 5: Solve for x
    x = 57,495,371.02/11,967.86
  6. Step 6: Final answer
    x = 4,804.15

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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.