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Finding the Fourth Proportional to 11,803.98, 17,706.78 and 4,011.78

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Solution

The fourth proportional to 11,803.98, 17,706.78 and 4,011.78 is: 6,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.98 : 17,706.78 = 4,011.78 : x
  2. Step 2: Convert to fraction form
    11,803.98/17,706.78 = 4,011.78/x
  3. Step 3: Cross multiply
    11,803.98x = 17,706.78 × 4,011.78
  4. Step 4: Simplify right side
    11,803.98x = 71,035,705.87
  5. Step 5: Solve for x
    x = 71,035,705.87/11,803.98
  6. Step 6: Final answer
    x = 6,017.95

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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.