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Finding the Fourth Proportional to 8,457.38, 11,682.34 and 6,492.22

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Solution

The fourth proportional to 8,457.38, 11,682.34 and 6,492.22 is: 8,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.38 : 11,682.34 = 6,492.22 : x
  2. Step 2: Convert to fraction form
    8,457.38/11,682.34 = 6,492.22/x
  3. Step 3: Cross multiply
    8,457.38x = 11,682.34 × 6,492.22
  4. Step 4: Simplify right side
    8,457.38x = 75,844,321.39
  5. Step 5: Solve for x
    x = 75,844,321.39/8,457.38
  6. Step 6: Final answer
    x = 8,967.83

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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.