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Finding the Fourth Proportional to 7,771.58, 11,653.94 and 2,223.66

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Solution

The fourth proportional to 7,771.58, 11,653.94 and 2,223.66 is: 3,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.58 : 11,653.94 = 2,223.66 : x
  2. Step 2: Convert to fraction form
    7,771.58/11,653.94 = 2,223.66/x
  3. Step 3: Cross multiply
    7,771.58x = 11,653.94 × 2,223.66
  4. Step 4: Simplify right side
    7,771.58x = 25,914,416.71
  5. Step 5: Solve for x
    x = 25,914,416.71/7,771.58
  6. Step 6: Final answer
    x = 3,334.51

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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.