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Finding the Fourth Proportional to 11,797.56, 17,696.16 and 4,011.84

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Solution

The fourth proportional to 11,797.56, 17,696.16 and 4,011.84 is: 6,017.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.56 : 17,696.16 = 4,011.84 : x
  2. Step 2: Convert to fraction form
    11,797.56/17,696.16 = 4,011.84/x
  3. Step 3: Cross multiply
    11,797.56x = 17,696.16 × 4,011.84
  4. Step 4: Simplify right side
    11,797.56x = 70,994,162.53
  5. Step 5: Solve for x
    x = 70,994,162.53/11,797.56
  6. Step 6: Final answer
    x = 6,017.70

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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.