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Finding the Fourth Proportional to 11,930.71, 17,896.77 and 3,165.60

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Solution

The fourth proportional to 11,930.71, 17,896.77 and 3,165.60 is: 4,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.71 : 17,896.77 = 3,165.60 : x
  2. Step 2: Convert to fraction form
    11,930.71/17,896.77 = 3,165.60/x
  3. Step 3: Cross multiply
    11,930.71x = 17,896.77 × 3,165.60
  4. Step 4: Simplify right side
    11,930.71x = 56,653,990.46
  5. Step 5: Solve for x
    x = 56,653,990.46/11,930.71
  6. Step 6: Final answer
    x = 4,748.59

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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.