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Finding the Fourth Proportional to 7,786.54, 10,747.14 and 4,953.36

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Solution

The fourth proportional to 7,786.54, 10,747.14 and 4,953.36 is: 6,836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.54 : 10,747.14 = 4,953.36 : x
  2. Step 2: Convert to fraction form
    7,786.54/10,747.14 = 4,953.36/x
  3. Step 3: Cross multiply
    7,786.54x = 10,747.14 × 4,953.36
  4. Step 4: Simplify right side
    7,786.54x = 53,234,453.39
  5. Step 5: Solve for x
    x = 53,234,453.39/7,786.54
  6. Step 6: Final answer
    x = 6,836.73

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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.