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Finding the Fourth Proportional to 7,850, 10,839.48 and 6,791.60

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Solution

The fourth proportional to 7,850, 10,839.48 and 6,791.60 is: 9,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850 : 10,839.48 = 6,791.60 : x
  2. Step 2: Convert to fraction form
    7,850/10,839.48 = 6,791.60/x
  3. Step 3: Cross multiply
    7,850x = 10,839.48 × 6,791.60
  4. Step 4: Simplify right side
    7,850x = 73,617,412.37
  5. Step 5: Solve for x
    x = 73,617,412.37/7,850
  6. Step 6: Final answer
    x = 9,378.01

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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.