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Finding the Fourth Proportional to 12,090.45, 16,685.13 and 7,843.26

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Solution

The fourth proportional to 12,090.45, 16,685.13 and 7,843.26 is: 10,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.45 : 16,685.13 = 7,843.26 : x
  2. Step 2: Convert to fraction form
    12,090.45/16,685.13 = 7,843.26/x
  3. Step 3: Cross multiply
    12,090.45x = 16,685.13 × 7,843.26
  4. Step 4: Simplify right side
    12,090.45x = 130,865,812.72
  5. Step 5: Solve for x
    x = 130,865,812.72/12,090.45
  6. Step 6: Final answer
    x = 10,823.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.