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Finding the Fourth Proportional to 7,182.36, 10,777.73 and 3,022.08

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Solution

The fourth proportional to 7,182.36, 10,777.73 and 3,022.08 is: 4,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.36 : 10,777.73 = 3,022.08 : x
  2. Step 2: Convert to fraction form
    7,182.36/10,777.73 = 3,022.08/x
  3. Step 3: Cross multiply
    7,182.36x = 10,777.73 × 3,022.08
  4. Step 4: Simplify right side
    7,182.36x = 32,571,147.17
  5. Step 5: Solve for x
    x = 32,571,147.17/7,182.36
  6. Step 6: Final answer
    x = 4,534.88

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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.