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Finding the Fourth Proportional to 7,777.68, 11,668.47 and 2,231.49

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Solution

The fourth proportional to 7,777.68, 11,668.47 and 2,231.49 is: 3,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.68 : 11,668.47 = 2,231.49 : x
  2. Step 2: Convert to fraction form
    7,777.68/11,668.47 = 2,231.49/x
  3. Step 3: Cross multiply
    7,777.68x = 11,668.47 × 2,231.49
  4. Step 4: Simplify right side
    7,777.68x = 26,038,074.12
  5. Step 5: Solve for x
    x = 26,038,074.12/7,777.68
  6. Step 6: Final answer
    x = 3,347.79

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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.