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Finding the Fourth Proportional to 7,305.37, 10,082.16 and 4,474.62

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Solution

The fourth proportional to 7,305.37, 10,082.16 and 4,474.62 is: 6,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.37 : 10,082.16 = 4,474.62 : x
  2. Step 2: Convert to fraction form
    7,305.37/10,082.16 = 4,474.62/x
  3. Step 3: Cross multiply
    7,305.37x = 10,082.16 × 4,474.62
  4. Step 4: Simplify right side
    7,305.37x = 45,113,834.78
  5. Step 5: Solve for x
    x = 45,113,834.78/7,305.37
  6. Step 6: Final answer
    x = 6,175.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.