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Finding the Fourth Proportional to 7,466.63, 11,200.64 and 2,201.64

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Solution

The fourth proportional to 7,466.63, 11,200.64 and 2,201.64 is: 3,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.63 : 11,200.64 = 2,201.64 : x
  2. Step 2: Convert to fraction form
    7,466.63/11,200.64 = 2,201.64/x
  3. Step 3: Cross multiply
    7,466.63x = 11,200.64 × 2,201.64
  4. Step 4: Simplify right side
    7,466.63x = 24,659,724.04
  5. Step 5: Solve for x
    x = 24,659,724.04/7,466.63
  6. Step 6: Final answer
    x = 3,302.66

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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.