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Finding the Fourth Proportional to 7,461.66, 11,185.20 and 3,082.18

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Solution

The fourth proportional to 7,461.66, 11,185.20 and 3,082.18 is: 4,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.66 : 11,185.20 = 3,082.18 : x
  2. Step 2: Convert to fraction form
    7,461.66/11,185.20 = 3,082.18/x
  3. Step 3: Cross multiply
    7,461.66x = 11,185.20 × 3,082.18
  4. Step 4: Simplify right side
    7,461.66x = 34,474,799.74
  5. Step 5: Solve for x
    x = 34,474,799.74/7,461.66
  6. Step 6: Final answer
    x = 4,620.26

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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.