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Finding the Fourth Proportional to 7,304.63, 10,082.21 and 4,162.64

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Solution

The fourth proportional to 7,304.63, 10,082.21 and 4,162.64 is: 5,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.63 : 10,082.21 = 4,162.64 : x
  2. Step 2: Convert to fraction form
    7,304.63/10,082.21 = 4,162.64/x
  3. Step 3: Cross multiply
    7,304.63x = 10,082.21 × 4,162.64
  4. Step 4: Simplify right side
    7,304.63x = 41,968,539.41
  5. Step 5: Solve for x
    x = 41,968,539.41/7,304.63
  6. Step 6: Final answer
    x = 5,745.47

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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.