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Finding the Fourth Proportional to 6,837.09, 10,235.79 and 5,200.08

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Solution

The fourth proportional to 6,837.09, 10,235.79 and 5,200.08 is: 7,785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.09 : 10,235.79 = 5,200.08 : x
  2. Step 2: Convert to fraction form
    6,837.09/10,235.79 = 5,200.08/x
  3. Step 3: Cross multiply
    6,837.09x = 10,235.79 × 5,200.08
  4. Step 4: Simplify right side
    6,837.09x = 53,226,926.86
  5. Step 5: Solve for x
    x = 53,226,926.86/6,837.09
  6. Step 6: Final answer
    x = 7,785.03

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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.