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Finding the Fourth Proportional to 10,803.50, 16,205.26 and 3,012.52

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Solution

The fourth proportional to 10,803.50, 16,205.26 and 3,012.52 is: 4,518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.50 : 16,205.26 = 3,012.52 : x
  2. Step 2: Convert to fraction form
    10,803.50/16,205.26 = 3,012.52/x
  3. Step 3: Cross multiply
    10,803.50x = 16,205.26 × 3,012.52
  4. Step 4: Simplify right side
    10,803.50x = 48,818,669.86
  5. Step 5: Solve for x
    x = 48,818,669.86/10,803.50
  6. Step 6: Final answer
    x = 4,518.78

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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.