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Finding the Fourth Proportional to 7,571.72, 11,358.12 and 2,642.60

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Solution

The fourth proportional to 7,571.72, 11,358.12 and 2,642.60 is: 3,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.72 : 11,358.12 = 2,642.60 : x
  2. Step 2: Convert to fraction form
    7,571.72/11,358.12 = 2,642.60/x
  3. Step 3: Cross multiply
    7,571.72x = 11,358.12 × 2,642.60
  4. Step 4: Simplify right side
    7,571.72x = 30,014,967.91
  5. Step 5: Solve for x
    x = 30,014,967.91/7,571.72
  6. Step 6: Final answer
    x = 3,964.09

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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.