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Finding the Fourth Proportional to 6,165.95, 8,507.50 and 4,175.78

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Solution

The fourth proportional to 6,165.95, 8,507.50 and 4,175.78 is: 5,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.95 : 8,507.50 = 4,175.78 : x
  2. Step 2: Convert to fraction form
    6,165.95/8,507.50 = 4,175.78/x
  3. Step 3: Cross multiply
    6,165.95x = 8,507.50 × 4,175.78
  4. Step 4: Simplify right side
    6,165.95x = 35,525,395.37
  5. Step 5: Solve for x
    x = 35,525,395.37/6,165.95
  6. Step 6: Final answer
    x = 5,761.55

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