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Finding the Fourth Proportional to 7,684.44, 10,583.82 and 6,634.68

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Solution

The fourth proportional to 7,684.44, 10,583.82 and 6,634.68 is: 9,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.44 : 10,583.82 = 6,634.68 : x
  2. Step 2: Convert to fraction form
    7,684.44/10,583.82 = 6,634.68/x
  3. Step 3: Cross multiply
    7,684.44x = 10,583.82 × 6,634.68
  4. Step 4: Simplify right side
    7,684.44x = 70,220,258.88
  5. Step 5: Solve for x
    x = 70,220,258.88/7,684.44
  6. Step 6: Final answer
    x = 9,137.98

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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.