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Finding the Fourth Proportional to 6,841.84, 10,252.68 and 3,134.92

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Solution

The fourth proportional to 6,841.84, 10,252.68 and 3,134.92 is: 4,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.84 : 10,252.68 = 3,134.92 : x
  2. Step 2: Convert to fraction form
    6,841.84/10,252.68 = 3,134.92/x
  3. Step 3: Cross multiply
    6,841.84x = 10,252.68 × 3,134.92
  4. Step 4: Simplify right side
    6,841.84x = 32,141,331.59
  5. Step 5: Solve for x
    x = 32,141,331.59/6,841.84
  6. Step 6: Final answer
    x = 4,697.76

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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.