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Finding the Fourth Proportional to 10,911.50, 16,367.26 and 2,703.50

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Solution

The fourth proportional to 10,911.50, 16,367.26 and 2,703.50 is: 4,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.50 : 16,367.26 = 2,703.50 : x
  2. Step 2: Convert to fraction form
    10,911.50/16,367.26 = 2,703.50/x
  3. Step 3: Cross multiply
    10,911.50x = 16,367.26 × 2,703.50
  4. Step 4: Simplify right side
    10,911.50x = 44,248,887.41
  5. Step 5: Solve for x
    x = 44,248,887.41/10,911.50
  6. Step 6: Final answer
    x = 4,055.25

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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.