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Finding the Fourth Proportional to 11,696.39, 17,545.72 and 4,674.74

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Solution

The fourth proportional to 11,696.39, 17,545.72 and 4,674.74 is: 7,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.39 : 17,545.72 = 4,674.74 : x
  2. Step 2: Convert to fraction form
    11,696.39/17,545.72 = 4,674.74/x
  3. Step 3: Cross multiply
    11,696.39x = 17,545.72 × 4,674.74
  4. Step 4: Simplify right side
    11,696.39x = 82,021,579.70
  5. Step 5: Solve for x
    x = 82,021,579.70/11,696.39
  6. Step 6: Final answer
    x = 7,012.55

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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.