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Finding the Fourth Proportional to 8,680.74, 13,021.19 and 2,106.98

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Solution

The fourth proportional to 8,680.74, 13,021.19 and 2,106.98 is: 3,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.74 : 13,021.19 = 2,106.98 : x
  2. Step 2: Convert to fraction form
    8,680.74/13,021.19 = 2,106.98/x
  3. Step 3: Cross multiply
    8,680.74x = 13,021.19 × 2,106.98
  4. Step 4: Simplify right side
    8,680.74x = 27,435,376.37
  5. Step 5: Solve for x
    x = 27,435,376.37/8,680.74
  6. Step 6: Final answer
    x = 3,160.49

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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.