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Finding the Fourth Proportional to 11,696.04, 17,532.54 and 4,673.97

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Solution

The fourth proportional to 11,696.04, 17,532.54 and 4,673.97 is: 7,006.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.04 : 17,532.54 = 4,673.97 : x
  2. Step 2: Convert to fraction form
    11,696.04/17,532.54 = 4,673.97/x
  3. Step 3: Cross multiply
    11,696.04x = 17,532.54 × 4,673.97
  4. Step 4: Simplify right side
    11,696.04x = 81,946,565.98
  5. Step 5: Solve for x
    x = 81,946,565.98/11,696.04
  6. Step 6: Final answer
    x = 7,006.35

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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.