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Finding the Fourth Proportional to 7,192.77, 10,790.16 and 3,243.48

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Solution

The fourth proportional to 7,192.77, 10,790.16 and 3,243.48 is: 4,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.77 : 10,790.16 = 3,243.48 : x
  2. Step 2: Convert to fraction form
    7,192.77/10,790.16 = 3,243.48/x
  3. Step 3: Cross multiply
    7,192.77x = 10,790.16 × 3,243.48
  4. Step 4: Simplify right side
    7,192.77x = 34,997,668.16
  5. Step 5: Solve for x
    x = 34,997,668.16/7,192.77
  6. Step 6: Final answer
    x = 4,865.67

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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.