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Finding the Fourth Proportional to 7,768.51, 10,720.56 and 4,231.69

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Solution

The fourth proportional to 7,768.51, 10,720.56 and 4,231.69 is: 5,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.51 : 10,720.56 = 4,231.69 : x
  2. Step 2: Convert to fraction form
    7,768.51/10,720.56 = 4,231.69/x
  3. Step 3: Cross multiply
    7,768.51x = 10,720.56 × 4,231.69
  4. Step 4: Simplify right side
    7,768.51x = 45,366,086.55
  5. Step 5: Solve for x
    x = 45,366,086.55/7,768.51
  6. Step 6: Final answer
    x = 5,839.74

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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.