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Finding the Fourth Proportional to 27,683.93, 41,521.43 and 7,958.00

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Solution

The fourth proportional to 27,683.93, 41,521.43 and 7,958.00 is: 11,935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.93 : 41,521.43 = 7,958.00 : x
  2. Step 2: Convert to fraction form
    27,683.93/41,521.43 = 7,958.00/x
  3. Step 3: Cross multiply
    27,683.93x = 41,521.43 × 7,958.00
  4. Step 4: Simplify right side
    27,683.93x = 330,427,292.54
  5. Step 5: Solve for x
    x = 330,427,292.54/27,683.93
  6. Step 6: Final answer
    x = 11,935.71

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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.