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Finding the Fourth Proportional to 11,955.79, 17,931.25 and 6,696.06

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Solution

The fourth proportional to 11,955.79, 17,931.25 and 6,696.06 is: 10,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.79 : 17,931.25 = 6,696.06 : x
  2. Step 2: Convert to fraction form
    11,955.79/17,931.25 = 6,696.06/x
  3. Step 3: Cross multiply
    11,955.79x = 17,931.25 × 6,696.06
  4. Step 4: Simplify right side
    11,955.79x = 120,068,725.88
  5. Step 5: Solve for x
    x = 120,068,725.88/11,955.79
  6. Step 6: Final answer
    x = 10,042.73

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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.