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Finding the Fourth Proportional to 27,610.56, 41,415.83 and 6,834.06

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Solution

The fourth proportional to 27,610.56, 41,415.83 and 6,834.06 is: 10,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.56 : 41,415.83 = 6,834.06 : x
  2. Step 2: Convert to fraction form
    27,610.56/41,415.83 = 6,834.06/x
  3. Step 3: Cross multiply
    27,610.56x = 41,415.83 × 6,834.06
  4. Step 4: Simplify right side
    27,610.56x = 283,038,233.00
  5. Step 5: Solve for x
    x = 283,038,233.00/27,610.56
  6. Step 6: Final answer
    x = 10,251.09

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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.