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Finding the Fourth Proportional to 27,546.40, 41,321.60 and 7,826.52

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Solution

The fourth proportional to 27,546.40, 41,321.60 and 7,826.52 is: 11,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546.40 : 41,321.60 = 7,826.52 : x
  2. Step 2: Convert to fraction form
    27,546.40/41,321.60 = 7,826.52/x
  3. Step 3: Cross multiply
    27,546.40x = 41,321.60 × 7,826.52
  4. Step 4: Simplify right side
    27,546.40x = 323,404,328.83
  5. Step 5: Solve for x
    x = 323,404,328.83/27,546.40
  6. Step 6: Final answer
    x = 11,740.35

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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.