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Finding the Fourth Proportional to 11,775.15, 16,245.68 and 7,297.27

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Solution

The fourth proportional to 11,775.15, 16,245.68 and 7,297.27 is: 10,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.15 : 16,245.68 = 7,297.27 : x
  2. Step 2: Convert to fraction form
    11,775.15/16,245.68 = 7,297.27/x
  3. Step 3: Cross multiply
    11,775.15x = 16,245.68 × 7,297.27
  4. Step 4: Simplify right side
    11,775.15x = 118,549,036.19
  5. Step 5: Solve for x
    x = 118,549,036.19/11,775.15
  6. Step 6: Final answer
    x = 10,067.73

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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.