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Finding the Fourth Proportional to 8,511.08, 11,741.94 and 6,278.34

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Solution

The fourth proportional to 8,511.08, 11,741.94 and 6,278.34 is: 8,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.08 : 11,741.94 = 6,278.34 : x
  2. Step 2: Convert to fraction form
    8,511.08/11,741.94 = 6,278.34/x
  3. Step 3: Cross multiply
    8,511.08x = 11,741.94 × 6,278.34
  4. Step 4: Simplify right side
    8,511.08x = 73,719,891.58
  5. Step 5: Solve for x
    x = 73,719,891.58/8,511.08
  6. Step 6: Final answer
    x = 8,661.64

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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.