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Finding the Fourth Proportional to 27,585.06, 41,378.97 and 7,866.54

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Solution

The fourth proportional to 27,585.06, 41,378.97 and 7,866.54 is: 11,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.06 : 41,378.97 = 7,866.54 : x
  2. Step 2: Convert to fraction form
    27,585.06/41,378.97 = 7,866.54/x
  3. Step 3: Cross multiply
    27,585.06x = 41,378.97 × 7,866.54
  4. Step 4: Simplify right side
    27,585.06x = 325,509,322.66
  5. Step 5: Solve for x
    x = 325,509,322.66/27,585.06
  6. Step 6: Final answer
    x = 11,800.20

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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.