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Finding the Fourth Proportional to 8,538.22, 11,782.80 and 4,761.64

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Solution

The fourth proportional to 8,538.22, 11,782.80 and 4,761.64 is: 6,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.22 : 11,782.80 = 4,761.64 : x
  2. Step 2: Convert to fraction form
    8,538.22/11,782.80 = 4,761.64/x
  3. Step 3: Cross multiply
    8,538.22x = 11,782.80 × 4,761.64
  4. Step 4: Simplify right side
    8,538.22x = 56,105,451.79
  5. Step 5: Solve for x
    x = 56,105,451.79/8,538.22
  6. Step 6: Final answer
    x = 6,571.09

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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.