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Finding the Fourth Proportional to 25,829.44, 38,745.60 and 7,360

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Solution

The fourth proportional to 25,829.44, 38,745.60 and 7,360 is: 11,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.44 : 38,745.60 = 7,360 : x
  2. Step 2: Convert to fraction form
    25,829.44/38,745.60 = 7,360/x
  3. Step 3: Cross multiply
    25,829.44x = 38,745.60 × 7,360
  4. Step 4: Simplify right side
    25,829.44x = 285,167,616
  5. Step 5: Solve for x
    x = 285,167,616/25,829.44
  6. Step 6: Final answer
    x = 11,040.41

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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.