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Finding the Fourth Proportional to 7,658.87, 11,490.77 and 3,760.54

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Solution

The fourth proportional to 7,658.87, 11,490.77 and 3,760.54 is: 5,642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.87 : 11,490.77 = 3,760.54 : x
  2. Step 2: Convert to fraction form
    7,658.87/11,490.77 = 3,760.54/x
  3. Step 3: Cross multiply
    7,658.87x = 11,490.77 × 3,760.54
  4. Step 4: Simplify right side
    7,658.87x = 43,211,480.89
  5. Step 5: Solve for x
    x = 43,211,480.89/7,658.87
  6. Step 6: Final answer
    x = 5,642.02

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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.