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Finding the Fourth Proportional to 8,142.64, 12,214.32 and 3,457.96

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Solution

The fourth proportional to 8,142.64, 12,214.32 and 3,457.96 is: 5,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.64 : 12,214.32 = 3,457.96 : x
  2. Step 2: Convert to fraction form
    8,142.64/12,214.32 = 3,457.96/x
  3. Step 3: Cross multiply
    8,142.64x = 12,214.32 × 3,457.96
  4. Step 4: Simplify right side
    8,142.64x = 42,236,629.99
  5. Step 5: Solve for x
    x = 42,236,629.99/8,142.64
  6. Step 6: Final answer
    x = 5,187.09

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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.