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Finding the Fourth Proportional to 11,574.44, 17,362.88 and 3,783.24

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Solution

The fourth proportional to 11,574.44, 17,362.88 and 3,783.24 is: 5,675.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.44 : 17,362.88 = 3,783.24 : x
  2. Step 2: Convert to fraction form
    11,574.44/17,362.88 = 3,783.24/x
  3. Step 3: Cross multiply
    11,574.44x = 17,362.88 × 3,783.24
  4. Step 4: Simplify right side
    11,574.44x = 65,687,942.13
  5. Step 5: Solve for x
    x = 65,687,942.13/11,574.44
  6. Step 6: Final answer
    x = 5,675.26

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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.