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Finding the Fourth Proportional to 11,326, 16,994.68 and 5,409.52

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Solution

The fourth proportional to 11,326, 16,994.68 and 5,409.52 is: 8,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326 : 16,994.68 = 5,409.52 : x
  2. Step 2: Convert to fraction form
    11,326/16,994.68 = 5,409.52/x
  3. Step 3: Cross multiply
    11,326x = 16,994.68 × 5,409.52
  4. Step 4: Simplify right side
    11,326x = 91,933,061.35
  5. Step 5: Solve for x
    x = 91,933,061.35/11,326
  6. Step 6: Final answer
    x = 8,116.99

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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.