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Finding the Fourth Proportional to 12,834.10, 17,708.25 and 7,801.03

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Solution

The fourth proportional to 12,834.10, 17,708.25 and 7,801.03 is: 10,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.10 : 17,708.25 = 7,801.03 : x
  2. Step 2: Convert to fraction form
    12,834.10/17,708.25 = 7,801.03/x
  3. Step 3: Cross multiply
    12,834.10x = 17,708.25 × 7,801.03
  4. Step 4: Simplify right side
    12,834.10x = 138,142,589.50
  5. Step 5: Solve for x
    x = 138,142,589.50/12,834.10
  6. Step 6: Final answer
    x = 10,763.71

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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.