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Finding the Fourth Proportional to 11,834.51, 17,756.95 and 6,286.49

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Solution

The fourth proportional to 11,834.51, 17,756.95 and 6,286.49 is: 9,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.51 : 17,756.95 = 6,286.49 : x
  2. Step 2: Convert to fraction form
    11,834.51/17,756.95 = 6,286.49/x
  3. Step 3: Cross multiply
    11,834.51x = 17,756.95 × 6,286.49
  4. Step 4: Simplify right side
    11,834.51x = 111,628,888.61
  5. Step 5: Solve for x
    x = 111,628,888.61/11,834.51
  6. Step 6: Final answer
    x = 9,432.49

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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.