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Finding the Fourth Proportional to 8,511.06, 11,742.03 and 6,278.25

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Solution

The fourth proportional to 8,511.06, 11,742.03 and 6,278.25 is: 8,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.06 : 11,742.03 = 6,278.25 : x
  2. Step 2: Convert to fraction form
    8,511.06/11,742.03 = 6,278.25/x
  3. Step 3: Cross multiply
    8,511.06x = 11,742.03 × 6,278.25
  4. Step 4: Simplify right side
    8,511.06x = 73,719,399.85
  5. Step 5: Solve for x
    x = 73,719,399.85/8,511.06
  6. Step 6: Final answer
    x = 8,661.60

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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.