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Finding the Fourth Proportional to 7,181.37, 10,764.09 and 3,020.16

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Solution

The fourth proportional to 7,181.37, 10,764.09 and 3,020.16 is: 4,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.37 : 10,764.09 = 3,020.16 : x
  2. Step 2: Convert to fraction form
    7,181.37/10,764.09 = 3,020.16/x
  3. Step 3: Cross multiply
    7,181.37x = 10,764.09 × 3,020.16
  4. Step 4: Simplify right side
    7,181.37x = 32,509,274.05
  5. Step 5: Solve for x
    x = 32,509,274.05/7,181.37
  6. Step 6: Final answer
    x = 4,526.89

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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.