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Finding the Fourth Proportional to 7,867.67, 10,847.30 and 6,446.12

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Solution

The fourth proportional to 7,867.67, 10,847.30 and 6,446.12 is: 8,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.67 : 10,847.30 = 6,446.12 : x
  2. Step 2: Convert to fraction form
    7,867.67/10,847.30 = 6,446.12/x
  3. Step 3: Cross multiply
    7,867.67x = 10,847.30 × 6,446.12
  4. Step 4: Simplify right side
    7,867.67x = 69,922,911.01
  5. Step 5: Solve for x
    x = 69,922,911.01/7,867.67
  6. Step 6: Final answer
    x = 8,887.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.