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Finding the Fourth Proportional to 8,546.83, 11,777.11 and 6,305.15

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Solution

The fourth proportional to 8,546.83, 11,777.11 and 6,305.15 is: 8,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.83 : 11,777.11 = 6,305.15 : x
  2. Step 2: Convert to fraction form
    8,546.83/11,777.11 = 6,305.15/x
  3. Step 3: Cross multiply
    8,546.83x = 11,777.11 × 6,305.15
  4. Step 4: Simplify right side
    8,546.83x = 74,256,445.12
  5. Step 5: Solve for x
    x = 74,256,445.12/8,546.83
  6. Step 6: Final answer
    x = 8,688.19

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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.