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Finding the Fourth Proportional to 11,797.68, 17,696.52 and 4,006.56

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Solution

The fourth proportional to 11,797.68, 17,696.52 and 4,006.56 is: 6,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.68 : 17,696.52 = 4,006.56 : x
  2. Step 2: Convert to fraction form
    11,797.68/17,696.52 = 4,006.56/x
  3. Step 3: Cross multiply
    11,797.68x = 17,696.52 × 4,006.56
  4. Step 4: Simplify right side
    11,797.68x = 70,902,169.17
  5. Step 5: Solve for x
    x = 70,902,169.17/11,797.68
  6. Step 6: Final answer
    x = 6,009.84

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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.