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Finding the Fourth Proportional to 7,767.51, 11,651.64 and 2,221.68

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Solution

The fourth proportional to 7,767.51, 11,651.64 and 2,221.68 is: 3,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.51 : 11,651.64 = 2,221.68 : x
  2. Step 2: Convert to fraction form
    7,767.51/11,651.64 = 2,221.68/x
  3. Step 3: Cross multiply
    7,767.51x = 11,651.64 × 2,221.68
  4. Step 4: Simplify right side
    7,767.51x = 25,886,215.56
  5. Step 5: Solve for x
    x = 25,886,215.56/7,767.51
  6. Step 6: Final answer
    x = 3,332.63

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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.