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Finding the Fourth Proportional to 7,694.16, 11,539.32 and 3,014.28

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Solution

The fourth proportional to 7,694.16, 11,539.32 and 3,014.28 is: 4,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.16 : 11,539.32 = 3,014.28 : x
  2. Step 2: Convert to fraction form
    7,694.16/11,539.32 = 3,014.28/x
  3. Step 3: Cross multiply
    7,694.16x = 11,539.32 × 3,014.28
  4. Step 4: Simplify right side
    7,694.16x = 34,782,741.49
  5. Step 5: Solve for x
    x = 34,782,741.49/7,694.16
  6. Step 6: Final answer
    x = 4,520.67

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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.