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Finding the Fourth Proportional to 6,838.35, 10,256.05 and 2,158.72

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Solution

The fourth proportional to 6,838.35, 10,256.05 and 2,158.72 is: 3,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.35 : 10,256.05 = 2,158.72 : x
  2. Step 2: Convert to fraction form
    6,838.35/10,256.05 = 2,158.72/x
  3. Step 3: Cross multiply
    6,838.35x = 10,256.05 × 2,158.72
  4. Step 4: Simplify right side
    6,838.35x = 22,139,963.43
  5. Step 5: Solve for x
    x = 22,139,963.43/6,838.35
  6. Step 6: Final answer
    x = 3,237.62

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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.