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Finding the Fourth Proportional to 7,745.65, 11,589.76 and 4,627.35

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Solution

The fourth proportional to 7,745.65, 11,589.76 and 4,627.35 is: 6,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.65 : 11,589.76 = 4,627.35 : x
  2. Step 2: Convert to fraction form
    7,745.65/11,589.76 = 4,627.35/x
  3. Step 3: Cross multiply
    7,745.65x = 11,589.76 × 4,627.35
  4. Step 4: Simplify right side
    7,745.65x = 53,629,881.72
  5. Step 5: Solve for x
    x = 53,629,881.72/7,745.65
  6. Step 6: Final answer
    x = 6,923.87

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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.