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Finding the Fourth Proportional to 7,745.70, 11,618.55 and 5,412.90

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Solution

The fourth proportional to 7,745.70, 11,618.55 and 5,412.90 is: 8,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.70 : 11,618.55 = 5,412.90 : x
  2. Step 2: Convert to fraction form
    7,745.70/11,618.55 = 5,412.90/x
  3. Step 3: Cross multiply
    7,745.70x = 11,618.55 × 5,412.90
  4. Step 4: Simplify right side
    7,745.70x = 62,890,049.30
  5. Step 5: Solve for x
    x = 62,890,049.30/7,745.70
  6. Step 6: Final answer
    x = 8,119.35

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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.