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Finding the Fourth Proportional to 7,536.42, 10,391.22 and 4,882.86

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Solution

The fourth proportional to 7,536.42, 10,391.22 and 4,882.86 is: 6,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.42 : 10,391.22 = 4,882.86 : x
  2. Step 2: Convert to fraction form
    7,536.42/10,391.22 = 4,882.86/x
  3. Step 3: Cross multiply
    7,536.42x = 10,391.22 × 4,882.86
  4. Step 4: Simplify right side
    7,536.42x = 50,738,872.49
  5. Step 5: Solve for x
    x = 50,738,872.49/7,536.42
  6. Step 6: Final answer
    x = 6,732.49

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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.