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Finding the Fourth Proportional to 6,791.36, 10,184.97 and 4,696.46

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Solution

The fourth proportional to 6,791.36, 10,184.97 and 4,696.46 is: 7,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.36 : 10,184.97 = 4,696.46 : x
  2. Step 2: Convert to fraction form
    6,791.36/10,184.97 = 4,696.46/x
  3. Step 3: Cross multiply
    6,791.36x = 10,184.97 × 4,696.46
  4. Step 4: Simplify right side
    6,791.36x = 47,833,278.74
  5. Step 5: Solve for x
    x = 47,833,278.74/6,791.36
  6. Step 6: Final answer
    x = 7,043.25

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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.