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Finding the Fourth Proportional to 8,451.02, 11,662.48 and 4,674

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Solution

The fourth proportional to 8,451.02, 11,662.48 and 4,674 is: 6,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.02 : 11,662.48 = 4,674 : x
  2. Step 2: Convert to fraction form
    8,451.02/11,662.48 = 4,674/x
  3. Step 3: Cross multiply
    8,451.02x = 11,662.48 × 4,674
  4. Step 4: Simplify right side
    8,451.02x = 54,510,431.52
  5. Step 5: Solve for x
    x = 54,510,431.52/8,451.02
  6. Step 6: Final answer
    x = 6,450.16

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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.