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Finding the Fourth Proportional to 7,651.21, 11,476.89 and 2,314.43

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Solution

The fourth proportional to 7,651.21, 11,476.89 and 2,314.43 is: 3,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.21 : 11,476.89 = 2,314.43 : x
  2. Step 2: Convert to fraction form
    7,651.21/11,476.89 = 2,314.43/x
  3. Step 3: Cross multiply
    7,651.21x = 11,476.89 × 2,314.43
  4. Step 4: Simplify right side
    7,651.21x = 26,562,476.46
  5. Step 5: Solve for x
    x = 26,562,476.46/7,651.21
  6. Step 6: Final answer
    x = 3,471.67

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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.