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Finding the Fourth Proportional to 6,977.80, 10,467.18 and 3,082.24

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Solution

The fourth proportional to 6,977.80, 10,467.18 and 3,082.24 is: 4,623.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.80 : 10,467.18 = 3,082.24 : x
  2. Step 2: Convert to fraction form
    6,977.80/10,467.18 = 3,082.24/x
  3. Step 3: Cross multiply
    6,977.80x = 10,467.18 × 3,082.24
  4. Step 4: Simplify right side
    6,977.80x = 32,262,360.88
  5. Step 5: Solve for x
    x = 32,262,360.88/6,977.80
  6. Step 6: Final answer
    x = 4,623.57

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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.