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Finding the Fourth Proportional to 7,846.90, 11,774.40 and 3,464.80

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Solution

The fourth proportional to 7,846.90, 11,774.40 and 3,464.80 is: 5,198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.90 : 11,774.40 = 3,464.80 : x
  2. Step 2: Convert to fraction form
    7,846.90/11,774.40 = 3,464.80/x
  3. Step 3: Cross multiply
    7,846.90x = 11,774.40 × 3,464.80
  4. Step 4: Simplify right side
    7,846.90x = 40,795,941.12
  5. Step 5: Solve for x
    x = 40,795,941.12/7,846.90
  6. Step 6: Final answer
    x = 5,198.99

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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.