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Finding the Fourth Proportional to 10,843.40, 16,265.10 and 6,161.60

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Solution

The fourth proportional to 10,843.40, 16,265.10 and 6,161.60 is: 9,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.40 : 16,265.10 = 6,161.60 : x
  2. Step 2: Convert to fraction form
    10,843.40/16,265.10 = 6,161.60/x
  3. Step 3: Cross multiply
    10,843.40x = 16,265.10 × 6,161.60
  4. Step 4: Simplify right side
    10,843.40x = 100,219,040.16
  5. Step 5: Solve for x
    x = 100,219,040.16/10,843.40
  6. Step 6: Final answer
    x = 9,242.40

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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.