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Finding the Fourth Proportional to 12,834.05, 17,711.06 and 7,797.87

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Solution

The fourth proportional to 12,834.05, 17,711.06 and 7,797.87 is: 10,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.05 : 17,711.06 = 7,797.87 : x
  2. Step 2: Convert to fraction form
    12,834.05/17,711.06 = 7,797.87/x
  3. Step 3: Cross multiply
    12,834.05x = 17,711.06 × 7,797.87
  4. Step 4: Simplify right side
    12,834.05x = 138,108,504.45
  5. Step 5: Solve for x
    x = 138,108,504.45/12,834.05
  6. Step 6: Final answer
    x = 10,761.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.