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Finding the Fourth Proportional to 11,083.20, 15,288.78 and 6,835.14

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Solution

The fourth proportional to 11,083.20, 15,288.78 and 6,835.14 is: 9,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.20 : 15,288.78 = 6,835.14 : x
  2. Step 2: Convert to fraction form
    11,083.20/15,288.78 = 6,835.14/x
  3. Step 3: Cross multiply
    11,083.20x = 15,288.78 × 6,835.14
  4. Step 4: Simplify right side
    11,083.20x = 104,500,951.73
  5. Step 5: Solve for x
    x = 104,500,951.73/11,083.20
  6. Step 6: Final answer
    x = 9,428.77

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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.