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Finding the Fourth Proportional to 7,797.60, 11,688.84 and 3,907.44

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Solution

The fourth proportional to 7,797.60, 11,688.84 and 3,907.44 is: 5,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.60 : 11,688.84 = 3,907.44 : x
  2. Step 2: Convert to fraction form
    7,797.60/11,688.84 = 3,907.44/x
  3. Step 3: Cross multiply
    7,797.60x = 11,688.84 × 3,907.44
  4. Step 4: Simplify right side
    7,797.60x = 45,673,440.97
  5. Step 5: Solve for x
    x = 45,673,440.97/7,797.60
  6. Step 6: Final answer
    x = 5,857.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.