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Finding the Fourth Proportional to 11,882.70, 17,811.69 and 4,482.06

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Solution

The fourth proportional to 11,882.70, 17,811.69 and 4,482.06 is: 6,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.70 : 17,811.69 = 4,482.06 : x
  2. Step 2: Convert to fraction form
    11,882.70/17,811.69 = 4,482.06/x
  3. Step 3: Cross multiply
    11,882.70x = 17,811.69 × 4,482.06
  4. Step 4: Simplify right side
    11,882.70x = 79,833,063.28
  5. Step 5: Solve for x
    x = 79,833,063.28/11,882.70
  6. Step 6: Final answer
    x = 6,718.43

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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.