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Finding the Fourth Proportional to 7,626.68, 11,441.10 and 3,466.64

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Solution

The fourth proportional to 7,626.68, 11,441.10 and 3,466.64 is: 5,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.68 : 11,441.10 = 3,466.64 : x
  2. Step 2: Convert to fraction form
    7,626.68/11,441.10 = 3,466.64/x
  3. Step 3: Cross multiply
    7,626.68x = 11,441.10 × 3,466.64
  4. Step 4: Simplify right side
    7,626.68x = 39,662,174.90
  5. Step 5: Solve for x
    x = 39,662,174.90/7,626.68
  6. Step 6: Final answer
    x = 5,200.45

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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.