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Finding the Fourth Proportional to 8,260.82, 11,395.98 and 5,427.06

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Solution

The fourth proportional to 8,260.82, 11,395.98 and 5,427.06 is: 7,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.82 : 11,395.98 = 5,427.06 : x
  2. Step 2: Convert to fraction form
    8,260.82/11,395.98 = 5,427.06/x
  3. Step 3: Cross multiply
    8,260.82x = 11,395.98 × 5,427.06
  4. Step 4: Simplify right side
    8,260.82x = 61,846,667.22
  5. Step 5: Solve for x
    x = 61,846,667.22/8,260.82
  6. Step 6: Final answer
    x = 7,486.75

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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.