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Finding the Fourth Proportional to 11,977.67, 17,966.50 and 4,584.39

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Solution

The fourth proportional to 11,977.67, 17,966.50 and 4,584.39 is: 6,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.67 : 17,966.50 = 4,584.39 : x
  2. Step 2: Convert to fraction form
    11,977.67/17,966.50 = 4,584.39/x
  3. Step 3: Cross multiply
    11,977.67x = 17,966.50 × 4,584.39
  4. Step 4: Simplify right side
    11,977.67x = 82,365,431.47
  5. Step 5: Solve for x
    x = 82,365,431.47/11,977.67
  6. Step 6: Final answer
    x = 6,876.59

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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.