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Finding the Fourth Proportional to 11,317.90, 16,944 and 6,921.94

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Solution

The fourth proportional to 11,317.90, 16,944 and 6,921.94 is: 10,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,317.90 : 16,944 = 6,921.94 : x
  2. Step 2: Convert to fraction form
    11,317.90/16,944 = 6,921.94/x
  3. Step 3: Cross multiply
    11,317.90x = 16,944 × 6,921.94
  4. Step 4: Simplify right side
    11,317.90x = 117,285,351.36
  5. Step 5: Solve for x
    x = 117,285,351.36/11,317.90
  6. Step 6: Final answer
    x = 10,362.82

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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.