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Finding the Fourth Proportional to 7,391.93, 11,082 and 4,268.39

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Solution

The fourth proportional to 7,391.93, 11,082 and 4,268.39 is: 6,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.93 : 11,082 = 4,268.39 : x
  2. Step 2: Convert to fraction form
    7,391.93/11,082 = 4,268.39/x
  3. Step 3: Cross multiply
    7,391.93x = 11,082 × 4,268.39
  4. Step 4: Simplify right side
    7,391.93x = 47,302,242.57
  5. Step 5: Solve for x
    x = 47,302,242.57/7,391.93
  6. Step 6: Final answer
    x = 6,399.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.