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Finding the Fourth Proportional to 8,102.88, 11,182.10 and 4,747.68

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Solution

The fourth proportional to 8,102.88, 11,182.10 and 4,747.68 is: 6,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.88 : 11,182.10 = 4,747.68 : x
  2. Step 2: Convert to fraction form
    8,102.88/11,182.10 = 4,747.68/x
  3. Step 3: Cross multiply
    8,102.88x = 11,182.10 × 4,747.68
  4. Step 4: Simplify right side
    8,102.88x = 53,089,008.79
  5. Step 5: Solve for x
    x = 53,089,008.79/8,102.88
  6. Step 6: Final answer
    x = 6,551.87

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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.