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Finding the Fourth Proportional to 7,767.40, 11,644.06 and 3,147.24

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Solution

The fourth proportional to 7,767.40, 11,644.06 and 3,147.24 is: 4,718.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.40 : 11,644.06 = 3,147.24 : x
  2. Step 2: Convert to fraction form
    7,767.40/11,644.06 = 3,147.24/x
  3. Step 3: Cross multiply
    7,767.40x = 11,644.06 × 3,147.24
  4. Step 4: Simplify right side
    7,767.40x = 36,646,651.39
  5. Step 5: Solve for x
    x = 36,646,651.39/7,767.40
  6. Step 6: Final answer
    x = 4,718.01

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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.