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Finding the Fourth Proportional to 7,768.56, 10,717.14 and 5,249.86

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Solution

The fourth proportional to 7,768.56, 10,717.14 and 5,249.86 is: 7,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.56 : 10,717.14 = 5,249.86 : x
  2. Step 2: Convert to fraction form
    7,768.56/10,717.14 = 5,249.86/x
  3. Step 3: Cross multiply
    7,768.56x = 10,717.14 × 5,249.86
  4. Step 4: Simplify right side
    7,768.56x = 56,263,484.60
  5. Step 5: Solve for x
    x = 56,263,484.60/7,768.56
  6. Step 6: Final answer
    x = 7,242.46

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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.