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Finding the Fourth Proportional to 7,626.96, 11,480.94 and 6,499.44

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Solution

The fourth proportional to 7,626.96, 11,480.94 and 6,499.44 is: 9,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.96 : 11,480.94 = 6,499.44 : x
  2. Step 2: Convert to fraction form
    7,626.96/11,480.94 = 6,499.44/x
  3. Step 3: Cross multiply
    7,626.96x = 11,480.94 × 6,499.44
  4. Step 4: Simplify right side
    7,626.96x = 74,619,680.67
  5. Step 5: Solve for x
    x = 74,619,680.67/7,626.96
  6. Step 6: Final answer
    x = 9,783.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.