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Finding the Fourth Proportional to 7,768.54, 10,720.20 and 4,231.72

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Solution

The fourth proportional to 7,768.54, 10,720.20 and 4,231.72 is: 5,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.54 : 10,720.20 = 4,231.72 : x
  2. Step 2: Convert to fraction form
    7,768.54/10,720.20 = 4,231.72/x
  3. Step 3: Cross multiply
    7,768.54x = 10,720.20 × 4,231.72
  4. Step 4: Simplify right side
    7,768.54x = 45,364,884.74
  5. Step 5: Solve for x
    x = 45,364,884.74/7,768.54
  6. Step 6: Final answer
    x = 5,839.56

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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.