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Finding the Fourth Proportional to 11,930.64, 17,893.49 and 4,532.51

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Solution

The fourth proportional to 11,930.64, 17,893.49 and 4,532.51 is: 6,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.64 : 17,893.49 = 4,532.51 : x
  2. Step 2: Convert to fraction form
    11,930.64/17,893.49 = 4,532.51/x
  3. Step 3: Cross multiply
    11,930.64x = 17,893.49 × 4,532.51
  4. Step 4: Simplify right side
    11,930.64x = 81,102,310.23
  5. Step 5: Solve for x
    x = 81,102,310.23/11,930.64
  6. Step 6: Final answer
    x = 6,797.82

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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.