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Finding the Fourth Proportional to 8,754.48, 13,131.42 and 3,823.00

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Solution

The fourth proportional to 8,754.48, 13,131.42 and 3,823.00 is: 5,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,754.48 : 13,131.42 = 3,823.00 : x
  2. Step 2: Convert to fraction form
    8,754.48/13,131.42 = 3,823.00/x
  3. Step 3: Cross multiply
    8,754.48x = 13,131.42 × 3,823.00
  4. Step 4: Simplify right side
    8,754.48x = 50,201,371.50
  5. Step 5: Solve for x
    x = 50,201,371.50/8,754.48
  6. Step 6: Final answer
    x = 5,734.36

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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.