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Finding the Fourth Proportional to 10,832.78, 14,944.78 and 7,297.14

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Solution

The fourth proportional to 10,832.78, 14,944.78 and 7,297.14 is: 10,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.78 : 14,944.78 = 7,297.14 : x
  2. Step 2: Convert to fraction form
    10,832.78/14,944.78 = 7,297.14/x
  3. Step 3: Cross multiply
    10,832.78x = 14,944.78 × 7,297.14
  4. Step 4: Simplify right side
    10,832.78x = 109,054,151.93
  5. Step 5: Solve for x
    x = 109,054,151.93/10,832.78
  6. Step 6: Final answer
    x = 10,067.05

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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.