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Finding the Fourth Proportional to 27,823.79, 41,735.08 and 6,763.94

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Solution

The fourth proportional to 27,823.79, 41,735.08 and 6,763.94 is: 10,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.79 : 41,735.08 = 6,763.94 : x
  2. Step 2: Convert to fraction form
    27,823.79/41,735.08 = 6,763.94/x
  3. Step 3: Cross multiply
    27,823.79x = 41,735.08 × 6,763.94
  4. Step 4: Simplify right side
    27,823.79x = 282,293,670.78
  5. Step 5: Solve for x
    x = 282,293,670.78/27,823.79
  6. Step 6: Final answer
    x = 10,145.77

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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.