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Finding the Fourth Proportional to 8,107.73, 11,189.49 and 5,084.99

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Solution

The fourth proportional to 8,107.73, 11,189.49 and 5,084.99 is: 7,017.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.73 : 11,189.49 = 5,084.99 : x
  2. Step 2: Convert to fraction form
    8,107.73/11,189.49 = 5,084.99/x
  3. Step 3: Cross multiply
    8,107.73x = 11,189.49 × 5,084.99
  4. Step 4: Simplify right side
    8,107.73x = 56,898,444.76
  5. Step 5: Solve for x
    x = 56,898,444.76/8,107.73
  6. Step 6: Final answer
    x = 7,017.80

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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.