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Finding the Fourth Proportional to 6,838.93, 10,258.80 and 2,159.09

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Solution

The fourth proportional to 6,838.93, 10,258.80 and 2,159.09 is: 3,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.93 : 10,258.80 = 2,159.09 : x
  2. Step 2: Convert to fraction form
    6,838.93/10,258.80 = 2,159.09/x
  3. Step 3: Cross multiply
    6,838.93x = 10,258.80 × 2,159.09
  4. Step 4: Simplify right side
    6,838.93x = 22,149,672.49
  5. Step 5: Solve for x
    x = 22,149,672.49/6,838.93
  6. Step 6: Final answer
    x = 3,238.76

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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.