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Finding the Fourth Proportional to 6,843.88, 10,246.50 and 5,207.08

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Solution

The fourth proportional to 6,843.88, 10,246.50 and 5,207.08 is: 7,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.88 : 10,246.50 = 5,207.08 : x
  2. Step 2: Convert to fraction form
    6,843.88/10,246.50 = 5,207.08/x
  3. Step 3: Cross multiply
    6,843.88x = 10,246.50 × 5,207.08
  4. Step 4: Simplify right side
    6,843.88x = 53,354,345.22
  5. Step 5: Solve for x
    x = 53,354,345.22/6,843.88
  6. Step 6: Final answer
    x = 7,795.92

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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.