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Finding the Fourth Proportional to 7,764.25, 10,713.24 and 4,578.54

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Solution

The fourth proportional to 7,764.25, 10,713.24 and 4,578.54 is: 6,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.25 : 10,713.24 = 4,578.54 : x
  2. Step 2: Convert to fraction form
    7,764.25/10,713.24 = 4,578.54/x
  3. Step 3: Cross multiply
    7,764.25x = 10,713.24 × 4,578.54
  4. Step 4: Simplify right side
    7,764.25x = 49,050,997.87
  5. Step 5: Solve for x
    x = 49,050,997.87/7,764.25
  6. Step 6: Final answer
    x = 6,317.54

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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.