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Finding the Fourth Proportional to 7,536.89, 10,400.74 and 4,179.64

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Solution

The fourth proportional to 7,536.89, 10,400.74 and 4,179.64 is: 5,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.89 : 10,400.74 = 4,179.64 : x
  2. Step 2: Convert to fraction form
    7,536.89/10,400.74 = 4,179.64/x
  3. Step 3: Cross multiply
    7,536.89x = 10,400.74 × 4,179.64
  4. Step 4: Simplify right side
    7,536.89x = 43,471,348.93
  5. Step 5: Solve for x
    x = 43,471,348.93/7,536.89
  6. Step 6: Final answer
    x = 5,767.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.