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Finding the Fourth Proportional to 8,538.34, 11,782.97 and 4,761.74

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Solution

The fourth proportional to 8,538.34, 11,782.97 and 4,761.74 is: 6,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.34 : 11,782.97 = 4,761.74 : x
  2. Step 2: Convert to fraction form
    8,538.34/11,782.97 = 4,761.74/x
  3. Step 3: Cross multiply
    8,538.34x = 11,782.97 × 4,761.74
  4. Step 4: Simplify right side
    8,538.34x = 56,107,480.93
  5. Step 5: Solve for x
    x = 56,107,480.93/8,538.34
  6. Step 6: Final answer
    x = 6,571.24

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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.