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Finding the Fourth Proportional to 7,462.79, 11,194.12 and 2,782.64

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Solution

The fourth proportional to 7,462.79, 11,194.12 and 2,782.64 is: 4,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.79 : 11,194.12 = 2,782.64 : x
  2. Step 2: Convert to fraction form
    7,462.79/11,194.12 = 2,782.64/x
  3. Step 3: Cross multiply
    7,462.79x = 11,194.12 × 2,782.64
  4. Step 4: Simplify right side
    7,462.79x = 31,149,206.08
  5. Step 5: Solve for x
    x = 31,149,206.08/7,462.79
  6. Step 6: Final answer
    x = 4,173.94

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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.