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Finding the Fourth Proportional to 8,025.89, 11,075.74 and 4,489.16

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Solution

The fourth proportional to 8,025.89, 11,075.74 and 4,489.16 is: 6,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025.89 : 11,075.74 = 4,489.16 : x
  2. Step 2: Convert to fraction form
    8,025.89/11,075.74 = 4,489.16/x
  3. Step 3: Cross multiply
    8,025.89x = 11,075.74 × 4,489.16
  4. Step 4: Simplify right side
    8,025.89x = 49,720,702.38
  5. Step 5: Solve for x
    x = 49,720,702.38/8,025.89
  6. Step 6: Final answer
    x = 6,195.04

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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.