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Finding the Fourth Proportional to 27,862.96, 41,794.29 and 6,803.11

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Solution

The fourth proportional to 27,862.96, 41,794.29 and 6,803.11 is: 10,204.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.96 : 41,794.29 = 6,803.11 : x
  2. Step 2: Convert to fraction form
    27,862.96/41,794.29 = 6,803.11/x
  3. Step 3: Cross multiply
    27,862.96x = 41,794.29 × 6,803.11
  4. Step 4: Simplify right side
    27,862.96x = 284,331,152.24
  5. Step 5: Solve for x
    x = 284,331,152.24/27,862.96
  6. Step 6: Final answer
    x = 10,204.63

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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.