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Finding the Fourth Proportional to 7,767.58, 11,651.56 and 2,221.42

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Solution

The fourth proportional to 7,767.58, 11,651.56 and 2,221.42 is: 3,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.58 : 11,651.56 = 2,221.42 : x
  2. Step 2: Convert to fraction form
    7,767.58/11,651.56 = 2,221.42/x
  3. Step 3: Cross multiply
    7,767.58x = 11,651.56 × 2,221.42
  4. Step 4: Simplify right side
    7,767.58x = 25,883,008.42
  5. Step 5: Solve for x
    x = 25,883,008.42/7,767.58
  6. Step 6: Final answer
    x = 3,332.18

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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.