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Finding the Fourth Proportional to 26,791.19, 40,182.83 and 7,071.13

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Solution

The fourth proportional to 26,791.19, 40,182.83 and 7,071.13 is: 10,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,791.19 : 40,182.83 = 7,071.13 : x
  2. Step 2: Convert to fraction form
    26,791.19/40,182.83 = 7,071.13/x
  3. Step 3: Cross multiply
    26,791.19x = 40,182.83 × 7,071.13
  4. Step 4: Simplify right side
    26,791.19x = 284,137,905.40
  5. Step 5: Solve for x
    x = 284,137,905.40/26,791.19
  6. Step 6: Final answer
    x = 10,605.65

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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.