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Finding the Fourth Proportional to 27,826.12, 41,735.94 and 7,048

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Solution

The fourth proportional to 27,826.12, 41,735.94 and 7,048 is: 10,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.12 : 41,735.94 = 7,048 : x
  2. Step 2: Convert to fraction form
    27,826.12/41,735.94 = 7,048/x
  3. Step 3: Cross multiply
    27,826.12x = 41,735.94 × 7,048
  4. Step 4: Simplify right side
    27,826.12x = 294,154,905.12
  5. Step 5: Solve for x
    x = 294,154,905.12/27,826.12
  6. Step 6: Final answer
    x = 10,571.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.