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Finding the Fourth Proportional to 7,745.66, 10,686.30 and 5,094.54

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Solution

The fourth proportional to 7,745.66, 10,686.30 and 5,094.54 is: 7,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.66 : 10,686.30 = 5,094.54 : x
  2. Step 2: Convert to fraction form
    7,745.66/10,686.30 = 5,094.54/x
  3. Step 3: Cross multiply
    7,745.66x = 10,686.30 × 5,094.54
  4. Step 4: Simplify right side
    7,745.66x = 54,441,782.80
  5. Step 5: Solve for x
    x = 54,441,782.80/7,745.66
  6. Step 6: Final answer
    x = 7,028.68

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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.