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Finding the Fourth Proportional to 10,983.50, 16,475.26 and 2,775.50

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Solution

The fourth proportional to 10,983.50, 16,475.26 and 2,775.50 is: 4,163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.50 : 16,475.26 = 2,775.50 : x
  2. Step 2: Convert to fraction form
    10,983.50/16,475.26 = 2,775.50/x
  3. Step 3: Cross multiply
    10,983.50x = 16,475.26 × 2,775.50
  4. Step 4: Simplify right side
    10,983.50x = 45,727,084.13
  5. Step 5: Solve for x
    x = 45,727,084.13/10,983.50
  6. Step 6: Final answer
    x = 4,163.25

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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.