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Finding the Fourth Proportional to 11,929.64, 17,901.49 and 4,540.31

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Solution

The fourth proportional to 11,929.64, 17,901.49 and 4,540.31 is: 6,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.64 : 17,901.49 = 4,540.31 : x
  2. Step 2: Convert to fraction form
    11,929.64/17,901.49 = 4,540.31/x
  3. Step 3: Cross multiply
    11,929.64x = 17,901.49 × 4,540.31
  4. Step 4: Simplify right side
    11,929.64x = 81,278,314.06
  5. Step 5: Solve for x
    x = 81,278,314.06/11,929.64
  6. Step 6: Final answer
    x = 6,813.14

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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.