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Finding the Fourth Proportional to 6,838.83, 10,256.76 and 2,678.94

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Solution

The fourth proportional to 6,838.83, 10,256.76 and 2,678.94 is: 4,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.83 : 10,256.76 = 2,678.94 : x
  2. Step 2: Convert to fraction form
    6,838.83/10,256.76 = 2,678.94/x
  3. Step 3: Cross multiply
    6,838.83x = 10,256.76 × 2,678.94
  4. Step 4: Simplify right side
    6,838.83x = 27,477,244.63
  5. Step 5: Solve for x
    x = 27,477,244.63/6,838.83
  6. Step 6: Final answer
    x = 4,017.83

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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.