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Finding the Fourth Proportional to 11,716.29, 16,169.58 and 7,000.47

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Solution

The fourth proportional to 11,716.29, 16,169.58 and 7,000.47 is: 9,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.29 : 16,169.58 = 7,000.47 : x
  2. Step 2: Convert to fraction form
    11,716.29/16,169.58 = 7,000.47/x
  3. Step 3: Cross multiply
    11,716.29x = 16,169.58 × 7,000.47
  4. Step 4: Simplify right side
    11,716.29x = 113,194,659.70
  5. Step 5: Solve for x
    x = 113,194,659.70/11,716.29
  6. Step 6: Final answer
    x = 9,661.31

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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.