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Finding the Fourth Proportional to 7,664.71, 10,578.27 and 4,679.90

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Solution

The fourth proportional to 7,664.71, 10,578.27 and 4,679.90 is: 6,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.71 : 10,578.27 = 4,679.90 : x
  2. Step 2: Convert to fraction form
    7,664.71/10,578.27 = 4,679.90/x
  3. Step 3: Cross multiply
    7,664.71x = 10,578.27 × 4,679.90
  4. Step 4: Simplify right side
    7,664.71x = 49,505,245.77
  5. Step 5: Solve for x
    x = 49,505,245.77/7,664.71
  6. Step 6: Final answer
    x = 6,458.85

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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.