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Finding the Fourth Proportional to 7,463.46, 11,185.38 and 3,078.48

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Solution

The fourth proportional to 7,463.46, 11,185.38 and 3,078.48 is: 4,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.46 : 11,185.38 = 3,078.48 : x
  2. Step 2: Convert to fraction form
    7,463.46/11,185.38 = 3,078.48/x
  3. Step 3: Cross multiply
    7,463.46x = 11,185.38 × 3,078.48
  4. Step 4: Simplify right side
    7,463.46x = 34,433,968.62
  5. Step 5: Solve for x
    x = 34,433,968.62/7,463.46
  6. Step 6: Final answer
    x = 4,613.67

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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.