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Finding the Fourth Proportional to 11,794.05, 16,276.06 and 6,416.79

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Solution

The fourth proportional to 11,794.05, 16,276.06 and 6,416.79 is: 8,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.05 : 16,276.06 = 6,416.79 : x
  2. Step 2: Convert to fraction form
    11,794.05/16,276.06 = 6,416.79/x
  3. Step 3: Cross multiply
    11,794.05x = 16,276.06 × 6,416.79
  4. Step 4: Simplify right side
    11,794.05x = 104,440,161.41
  5. Step 5: Solve for x
    x = 104,440,161.41/11,794.05
  6. Step 6: Final answer
    x = 8,855.32

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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.