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Finding the Fourth Proportional to 8,093.75, 11,169.95 and 4,509

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Solution

The fourth proportional to 8,093.75, 11,169.95 and 4,509 is: 6,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.75 : 11,169.95 = 4,509 : x
  2. Step 2: Convert to fraction form
    8,093.75/11,169.95 = 4,509/x
  3. Step 3: Cross multiply
    8,093.75x = 11,169.95 × 4,509
  4. Step 4: Simplify right side
    8,093.75x = 50,365,282.01
  5. Step 5: Solve for x
    x = 50,365,282.01/8,093.75
  6. Step 6: Final answer
    x = 6,222.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.