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Finding the Fourth Proportional to 11,849.37, 17,783.22 and 4,460.55

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Solution

The fourth proportional to 11,849.37, 17,783.22 and 4,460.55 is: 6,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.37 : 17,783.22 = 4,460.55 : x
  2. Step 2: Convert to fraction form
    11,849.37/17,783.22 = 4,460.55/x
  3. Step 3: Cross multiply
    11,849.37x = 17,783.22 × 4,460.55
  4. Step 4: Simplify right side
    11,849.37x = 79,322,941.97
  5. Step 5: Solve for x
    x = 79,322,941.97/11,849.37
  6. Step 6: Final answer
    x = 6,694.28

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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.