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Finding the Fourth Proportional to 7,114.46, 10,674.40 and 3,221.60

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Solution

The fourth proportional to 7,114.46, 10,674.40 and 3,221.60 is: 4,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.46 : 10,674.40 = 3,221.60 : x
  2. Step 2: Convert to fraction form
    7,114.46/10,674.40 = 3,221.60/x
  3. Step 3: Cross multiply
    7,114.46x = 10,674.40 × 3,221.60
  4. Step 4: Simplify right side
    7,114.46x = 34,388,647.04
  5. Step 5: Solve for x
    x = 34,388,647.04/7,114.46
  6. Step 6: Final answer
    x = 4,833.63

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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.