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Finding the Fourth Proportional to 6,840.78, 10,249.56 and 5,953.35

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Solution

The fourth proportional to 6,840.78, 10,249.56 and 5,953.35 is: 8,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.78 : 10,249.56 = 5,953.35 : x
  2. Step 2: Convert to fraction form
    6,840.78/10,249.56 = 5,953.35/x
  3. Step 3: Cross multiply
    6,840.78x = 10,249.56 × 5,953.35
  4. Step 4: Simplify right side
    6,840.78x = 61,019,218.03
  5. Step 5: Solve for x
    x = 61,019,218.03/6,840.78
  6. Step 6: Final answer
    x = 8,919.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.