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Finding the Fourth Proportional to 8,333.76, 11,481.06 and 5,811.30

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Solution

The fourth proportional to 8,333.76, 11,481.06 and 5,811.30 is: 8,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.76 : 11,481.06 = 5,811.30 : x
  2. Step 2: Convert to fraction form
    8,333.76/11,481.06 = 5,811.30/x
  3. Step 3: Cross multiply
    8,333.76x = 11,481.06 × 5,811.30
  4. Step 4: Simplify right side
    8,333.76x = 66,719,883.98
  5. Step 5: Solve for x
    x = 66,719,883.98/8,333.76
  6. Step 6: Final answer
    x = 8,005.98

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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.