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Finding the Fourth Proportional to 27,828.50, 41,745.18 and 7,052

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Solution

The fourth proportional to 27,828.50, 41,745.18 and 7,052 is: 10,578.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.50 : 41,745.18 = 7,052 : x
  2. Step 2: Convert to fraction form
    27,828.50/41,745.18 = 7,052/x
  3. Step 3: Cross multiply
    27,828.50x = 41,745.18 × 7,052
  4. Step 4: Simplify right side
    27,828.50x = 294,387,009.36
  5. Step 5: Solve for x
    x = 294,387,009.36/27,828.50
  6. Step 6: Final answer
    x = 10,578.62

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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.