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Finding the Fourth Proportional to 12,287.02, 16,956.12 and 8,041

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Solution

The fourth proportional to 12,287.02, 16,956.12 and 8,041 is: 11,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.02 : 16,956.12 = 8,041 : x
  2. Step 2: Convert to fraction form
    12,287.02/16,956.12 = 8,041/x
  3. Step 3: Cross multiply
    12,287.02x = 16,956.12 × 8,041
  4. Step 4: Simplify right side
    12,287.02x = 136,344,160.92
  5. Step 5: Solve for x
    x = 136,344,160.92/12,287.02
  6. Step 6: Final answer
    x = 11,096.60

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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.