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Finding the Fourth Proportional to 7,367.10, 11,046.60 and 3,206.40

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Solution

The fourth proportional to 7,367.10, 11,046.60 and 3,206.40 is: 4,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367.10 : 11,046.60 = 3,206.40 : x
  2. Step 2: Convert to fraction form
    7,367.10/11,046.60 = 3,206.40/x
  3. Step 3: Cross multiply
    7,367.10x = 11,046.60 × 3,206.40
  4. Step 4: Simplify right side
    7,367.10x = 35,419,818.24
  5. Step 5: Solve for x
    x = 35,419,818.24/7,367.10
  6. Step 6: Final answer
    x = 4,807.84

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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.