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Finding the Fourth Proportional to 11,538.36, 15,922.94 and 6,233.18

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Solution

The fourth proportional to 11,538.36, 15,922.94 and 6,233.18 is: 8,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.36 : 15,922.94 = 6,233.18 : x
  2. Step 2: Convert to fraction form
    11,538.36/15,922.94 = 6,233.18/x
  3. Step 3: Cross multiply
    11,538.36x = 15,922.94 × 6,233.18
  4. Step 4: Simplify right side
    11,538.36x = 99,250,495.76
  5. Step 5: Solve for x
    x = 99,250,495.76/11,538.36
  6. Step 6: Final answer
    x = 8,601.79

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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.