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Finding the Fourth Proportional to 6,310.53, 8,707.47 and 4,075.38

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Solution

The fourth proportional to 6,310.53, 8,707.47 and 4,075.38 is: 5,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.53 : 8,707.47 = 4,075.38 : x
  2. Step 2: Convert to fraction form
    6,310.53/8,707.47 = 4,075.38/x
  3. Step 3: Cross multiply
    6,310.53x = 8,707.47 × 4,075.38
  4. Step 4: Simplify right side
    6,310.53x = 35,486,249.09
  5. Step 5: Solve for x
    x = 35,486,249.09/6,310.53
  6. Step 6: Final answer
    x = 5,623.34

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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.