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Finding the Fourth Proportional to 11,927.89, 16,460.92 and 7,209.44

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Solution

The fourth proportional to 11,927.89, 16,460.92 and 7,209.44 is: 9,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.89 : 16,460.92 = 7,209.44 : x
  2. Step 2: Convert to fraction form
    11,927.89/16,460.92 = 7,209.44/x
  3. Step 3: Cross multiply
    11,927.89x = 16,460.92 × 7,209.44
  4. Step 4: Simplify right side
    11,927.89x = 118,674,015.08
  5. Step 5: Solve for x
    x = 118,674,015.08/11,927.89
  6. Step 6: Final answer
    x = 9,949.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.