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Finding the Fourth Proportional to 8,505.36, 11,736.84 and 4,778.64

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Solution

The fourth proportional to 8,505.36, 11,736.84 and 4,778.64 is: 6,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.36 : 11,736.84 = 4,778.64 : x
  2. Step 2: Convert to fraction form
    8,505.36/11,736.84 = 4,778.64/x
  3. Step 3: Cross multiply
    8,505.36x = 11,736.84 × 4,778.64
  4. Step 4: Simplify right side
    8,505.36x = 56,086,133.10
  5. Step 5: Solve for x
    x = 56,086,133.10/8,505.36
  6. Step 6: Final answer
    x = 6,594.21

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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.