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Finding the Fourth Proportional to 8,538.51, 11,783.21 and 4,761.92

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Solution

The fourth proportional to 8,538.51, 11,783.21 and 4,761.92 is: 6,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.51 : 11,783.21 = 4,761.92 : x
  2. Step 2: Convert to fraction form
    8,538.51/11,783.21 = 4,761.92/x
  3. Step 3: Cross multiply
    8,538.51x = 11,783.21 × 4,761.92
  4. Step 4: Simplify right side
    8,538.51x = 56,110,620.64
  5. Step 5: Solve for x
    x = 56,110,620.64/8,538.51
  6. Step 6: Final answer
    x = 6,571.48

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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.