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Finding the Fourth Proportional to 7,302.11, 10,076.90 and 4,158.27

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Solution

The fourth proportional to 7,302.11, 10,076.90 and 4,158.27 is: 5,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.11 : 10,076.90 = 4,158.27 : x
  2. Step 2: Convert to fraction form
    7,302.11/10,076.90 = 4,158.27/x
  3. Step 3: Cross multiply
    7,302.11x = 10,076.90 × 4,158.27
  4. Step 4: Simplify right side
    7,302.11x = 41,902,450.17
  5. Step 5: Solve for x
    x = 41,902,450.17/7,302.11
  6. Step 6: Final answer
    x = 5,738.41

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Why These Related Problems?

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