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Finding the Fourth Proportional to 8,069.65, 12,106.01 and 2,804.46

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Solution

The fourth proportional to 8,069.65, 12,106.01 and 2,804.46 is: 4,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.65 : 12,106.01 = 2,804.46 : x
  2. Step 2: Convert to fraction form
    8,069.65/12,106.01 = 2,804.46/x
  3. Step 3: Cross multiply
    8,069.65x = 12,106.01 × 2,804.46
  4. Step 4: Simplify right side
    8,069.65x = 33,950,820.80
  5. Step 5: Solve for x
    x = 33,950,820.80/8,069.65
  6. Step 6: Final answer
    x = 4,207.22

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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.