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Finding the Fourth Proportional to 11,716.72, 16,167.48 and 7,000

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Solution

The fourth proportional to 11,716.72, 16,167.48 and 7,000 is: 9,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.72 : 16,167.48 = 7,000 : x
  2. Step 2: Convert to fraction form
    11,716.72/16,167.48 = 7,000/x
  3. Step 3: Cross multiply
    11,716.72x = 16,167.48 × 7,000
  4. Step 4: Simplify right side
    11,716.72x = 113,172,360
  5. Step 5: Solve for x
    x = 113,172,360/11,716.72
  6. Step 6: Final answer
    x = 9,659.05

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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.