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Finding the Fourth Proportional to 8,333.31, 11,473.74 and 7,071.75

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Solution

The fourth proportional to 8,333.31, 11,473.74 and 7,071.75 is: 9,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.31 : 11,473.74 = 7,071.75 : x
  2. Step 2: Convert to fraction form
    8,333.31/11,473.74 = 7,071.75/x
  3. Step 3: Cross multiply
    8,333.31x = 11,473.74 × 7,071.75
  4. Step 4: Simplify right side
    8,333.31x = 81,139,420.85
  5. Step 5: Solve for x
    x = 81,139,420.85/8,333.31
  6. Step 6: Final answer
    x = 9,736.76

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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.