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Finding the Fourth Proportional to 7,791.36, 10,747.80 and 4,992

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Solution

The fourth proportional to 7,791.36, 10,747.80 and 4,992 is: 6,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.36 : 10,747.80 = 4,992 : x
  2. Step 2: Convert to fraction form
    7,791.36/10,747.80 = 4,992/x
  3. Step 3: Cross multiply
    7,791.36x = 10,747.80 × 4,992
  4. Step 4: Simplify right side
    7,791.36x = 53,653,017.60
  5. Step 5: Solve for x
    x = 53,653,017.60/7,791.36
  6. Step 6: Final answer
    x = 6,886.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.