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Finding the Fourth Proportional to 10,919.61, 16,383.06 and 4,344.03

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Solution

The fourth proportional to 10,919.61, 16,383.06 and 4,344.03 is: 6,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.61 : 16,383.06 = 4,344.03 : x
  2. Step 2: Convert to fraction form
    10,919.61/16,383.06 = 4,344.03/x
  3. Step 3: Cross multiply
    10,919.61x = 16,383.06 × 4,344.03
  4. Step 4: Simplify right side
    10,919.61x = 71,168,504.13
  5. Step 5: Solve for x
    x = 71,168,504.13/10,919.61
  6. Step 6: Final answer
    x = 6,517.50

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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.