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Finding the Fourth Proportional to 7,675.80, 11,513.70 and 2,745.60

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Solution

The fourth proportional to 7,675.80, 11,513.70 and 2,745.60 is: 4,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.80 : 11,513.70 = 2,745.60 : x
  2. Step 2: Convert to fraction form
    7,675.80/11,513.70 = 2,745.60/x
  3. Step 3: Cross multiply
    7,675.80x = 11,513.70 × 2,745.60
  4. Step 4: Simplify right side
    7,675.80x = 31,612,014.72
  5. Step 5: Solve for x
    x = 31,612,014.72/7,675.80
  6. Step 6: Final answer
    x = 4,118.40

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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.