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Finding the Fourth Proportional to 8,641.24, 12,958.64 and 6,795.96

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Solution

The fourth proportional to 8,641.24, 12,958.64 and 6,795.96 is: 10,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.24 : 12,958.64 = 6,795.96 : x
  2. Step 2: Convert to fraction form
    8,641.24/12,958.64 = 6,795.96/x
  3. Step 3: Cross multiply
    8,641.24x = 12,958.64 × 6,795.96
  4. Step 4: Simplify right side
    8,641.24x = 88,066,399.09
  5. Step 5: Solve for x
    x = 88,066,399.09/8,641.24
  6. Step 6: Final answer
    x = 10,191.41

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Why These Related Problems?

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