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Finding the Fourth Proportional to 6,135.87, 8,465.00 and 4,273.95

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Solution

The fourth proportional to 6,135.87, 8,465.00 and 4,273.95 is: 5,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.87 : 8,465.00 = 4,273.95 : x
  2. Step 2: Convert to fraction form
    6,135.87/8,465.00 = 4,273.95/x
  3. Step 3: Cross multiply
    6,135.87x = 8,465.00 × 4,273.95
  4. Step 4: Simplify right side
    6,135.87x = 36,178,965.38
  5. Step 5: Solve for x
    x = 36,178,965.38/6,135.87
  6. Step 6: Final answer
    x = 5,896.31

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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.