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Finding the Fourth Proportional to 8,256.68, 11,394.70 and 7,883.06

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Solution

The fourth proportional to 8,256.68, 11,394.70 and 7,883.06 is: 10,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.68 : 11,394.70 = 7,883.06 : x
  2. Step 2: Convert to fraction form
    8,256.68/11,394.70 = 7,883.06/x
  3. Step 3: Cross multiply
    8,256.68x = 11,394.70 × 7,883.06
  4. Step 4: Simplify right side
    8,256.68x = 89,825,112.56
  5. Step 5: Solve for x
    x = 89,825,112.56/8,256.68
  6. Step 6: Final answer
    x = 10,879.09

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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.