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Finding the Fourth Proportional to 8,064.88, 11,129.82 and 4,709.84

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Solution

The fourth proportional to 8,064.88, 11,129.82 and 4,709.84 is: 6,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.88 : 11,129.82 = 4,709.84 : x
  2. Step 2: Convert to fraction form
    8,064.88/11,129.82 = 4,709.84/x
  3. Step 3: Cross multiply
    8,064.88x = 11,129.82 × 4,709.84
  4. Step 4: Simplify right side
    8,064.88x = 52,419,671.43
  5. Step 5: Solve for x
    x = 52,419,671.43/8,064.88
  6. Step 6: Final answer
    x = 6,499.75

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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.