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Finding the Fourth Proportional to 8,124.69, 12,186.09 and 2,281.80

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Solution

The fourth proportional to 8,124.69, 12,186.09 and 2,281.80 is: 3,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.69 : 12,186.09 = 2,281.80 : x
  2. Step 2: Convert to fraction form
    8,124.69/12,186.09 = 2,281.80/x
  3. Step 3: Cross multiply
    8,124.69x = 12,186.09 × 2,281.80
  4. Step 4: Simplify right side
    8,124.69x = 27,806,220.16
  5. Step 5: Solve for x
    x = 27,806,220.16/8,124.69
  6. Step 6: Final answer
    x = 3,422.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.