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Finding the Fourth Proportional to 11,288.42, 15,570.27 and 7,745.48

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Solution

The fourth proportional to 11,288.42, 15,570.27 and 7,745.48 is: 10,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.42 : 15,570.27 = 7,745.48 : x
  2. Step 2: Convert to fraction form
    11,288.42/15,570.27 = 7,745.48/x
  3. Step 3: Cross multiply
    11,288.42x = 15,570.27 × 7,745.48
  4. Step 4: Simplify right side
    11,288.42x = 120,599,195.42
  5. Step 5: Solve for x
    x = 120,599,195.42/11,288.42
  6. Step 6: Final answer
    x = 10,683.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.