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Finding the Fourth Proportional to 11,477.80, 17,219.32 and 4,082.24

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Solution

The fourth proportional to 11,477.80, 17,219.32 and 4,082.24 is: 6,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.80 : 17,219.32 = 4,082.24 : x
  2. Step 2: Convert to fraction form
    11,477.80/17,219.32 = 4,082.24/x
  3. Step 3: Cross multiply
    11,477.80x = 17,219.32 × 4,082.24
  4. Step 4: Simplify right side
    11,477.80x = 70,293,396.88
  5. Step 5: Solve for x
    x = 70,293,396.88/11,477.80
  6. Step 6: Final answer
    x = 6,124.29

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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.