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Finding the Fourth Proportional to 6,838.38, 10,256.13 and 2,455.26

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Solution

The fourth proportional to 6,838.38, 10,256.13 and 2,455.26 is: 3,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.38 : 10,256.13 = 2,455.26 : x
  2. Step 2: Convert to fraction form
    6,838.38/10,256.13 = 2,455.26/x
  3. Step 3: Cross multiply
    6,838.38x = 10,256.13 × 2,455.26
  4. Step 4: Simplify right side
    6,838.38x = 25,181,465.74
  5. Step 5: Solve for x
    x = 25,181,465.74/6,838.38
  6. Step 6: Final answer
    x = 3,682.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.