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Finding the Fourth Proportional to 7,651.86, 11,467.45 and 5,797.16

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Solution

The fourth proportional to 7,651.86, 11,467.45 and 5,797.16 is: 8,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.86 : 11,467.45 = 5,797.16 : x
  2. Step 2: Convert to fraction form
    7,651.86/11,467.45 = 5,797.16/x
  3. Step 3: Cross multiply
    7,651.86x = 11,467.45 × 5,797.16
  4. Step 4: Simplify right side
    7,651.86x = 66,478,642.44
  5. Step 5: Solve for x
    x = 66,478,642.44/7,651.86
  6. Step 6: Final answer
    x = 8,687.91

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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.