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Finding the Fourth Proportional to 27,506.26, 41,260.97 and 7,783.16

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Solution

The fourth proportional to 27,506.26, 41,260.97 and 7,783.16 is: 11,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.26 : 41,260.97 = 7,783.16 : x
  2. Step 2: Convert to fraction form
    27,506.26/41,260.97 = 7,783.16/x
  3. Step 3: Cross multiply
    27,506.26x = 41,260.97 × 7,783.16
  4. Step 4: Simplify right side
    27,506.26x = 321,140,731.27
  5. Step 5: Solve for x
    x = 321,140,731.27/27,506.26
  6. Step 6: Final answer
    x = 11,675.19

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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.