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Finding the Fourth Proportional to 7,768.29, 10,720.25 and 4,231.51

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Solution

The fourth proportional to 7,768.29, 10,720.25 and 4,231.51 is: 5,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.29 : 10,720.25 = 4,231.51 : x
  2. Step 2: Convert to fraction form
    7,768.29/10,720.25 = 4,231.51/x
  3. Step 3: Cross multiply
    7,768.29x = 10,720.25 × 4,231.51
  4. Step 4: Simplify right side
    7,768.29x = 45,362,845.08
  5. Step 5: Solve for x
    x = 45,362,845.08/7,768.29
  6. Step 6: Final answer
    x = 5,839.49

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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.