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Finding the Fourth Proportional to 11,871.84, 17,795.20 and 4,473.09

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Solution

The fourth proportional to 11,871.84, 17,795.20 and 4,473.09 is: 6,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.84 : 17,795.20 = 4,473.09 : x
  2. Step 2: Convert to fraction form
    11,871.84/17,795.20 = 4,473.09/x
  3. Step 3: Cross multiply
    11,871.84x = 17,795.20 × 4,473.09
  4. Step 4: Simplify right side
    11,871.84x = 79,599,531.17
  5. Step 5: Solve for x
    x = 79,599,531.17/11,871.84
  6. Step 6: Final answer
    x = 6,704.90

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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.