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Finding the Fourth Proportional to 27,525.49, 41,288.16 and 7,804.22

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Solution

The fourth proportional to 27,525.49, 41,288.16 and 7,804.22 is: 11,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,525.49 : 41,288.16 = 7,804.22 : x
  2. Step 2: Convert to fraction form
    27,525.49/41,288.16 = 7,804.22/x
  3. Step 3: Cross multiply
    27,525.49x = 41,288.16 × 7,804.22
  4. Step 4: Simplify right side
    27,525.49x = 322,221,884.04
  5. Step 5: Solve for x
    x = 322,221,884.04/27,525.49
  6. Step 6: Final answer
    x = 11,706.31

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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.