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Finding the Fourth Proportional to 11,834.88, 16,334.98 and 7,118.26

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Solution

The fourth proportional to 11,834.88, 16,334.98 and 7,118.26 is: 9,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.88 : 16,334.98 = 7,118.26 : x
  2. Step 2: Convert to fraction form
    11,834.88/16,334.98 = 7,118.26/x
  3. Step 3: Cross multiply
    11,834.88x = 16,334.98 × 7,118.26
  4. Step 4: Simplify right side
    11,834.88x = 116,276,634.73
  5. Step 5: Solve for x
    x = 116,276,634.73/11,834.88
  6. Step 6: Final answer
    x = 9,824.91

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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.