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Finding the Fourth Proportional to 7,967.04, 11,950.56 and 2,771.52

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Solution

The fourth proportional to 7,967.04, 11,950.56 and 2,771.52 is: 4,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.04 : 11,950.56 = 2,771.52 : x
  2. Step 2: Convert to fraction form
    7,967.04/11,950.56 = 2,771.52/x
  3. Step 3: Cross multiply
    7,967.04x = 11,950.56 × 2,771.52
  4. Step 4: Simplify right side
    7,967.04x = 33,121,216.05
  5. Step 5: Solve for x
    x = 33,121,216.05/7,967.04
  6. Step 6: Final answer
    x = 4,157.28

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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.