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Finding the Fourth Proportional to 8,499.06, 11,727 and 4,961.34

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Solution

The fourth proportional to 8,499.06, 11,727 and 4,961.34 is: 6,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.06 : 11,727 = 4,961.34 : x
  2. Step 2: Convert to fraction form
    8,499.06/11,727 = 4,961.34/x
  3. Step 3: Cross multiply
    8,499.06x = 11,727 × 4,961.34
  4. Step 4: Simplify right side
    8,499.06x = 58,181,634.18
  5. Step 5: Solve for x
    x = 58,181,634.18/8,499.06
  6. Step 6: Final answer
    x = 6,845.66

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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.