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Finding the Fourth Proportional to 11,634.13, 16,055.02 and 6,328.94

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Solution

The fourth proportional to 11,634.13, 16,055.02 and 6,328.94 is: 8,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.13 : 16,055.02 = 6,328.94 : x
  2. Step 2: Convert to fraction form
    11,634.13/16,055.02 = 6,328.94/x
  3. Step 3: Cross multiply
    11,634.13x = 16,055.02 × 6,328.94
  4. Step 4: Simplify right side
    11,634.13x = 101,611,258.28
  5. Step 5: Solve for x
    x = 101,611,258.28/11,634.13
  6. Step 6: Final answer
    x = 8,733.89

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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.