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Finding the Fourth Proportional to 11,752.72, 16,217.04 and 7,036

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Solution

The fourth proportional to 11,752.72, 16,217.04 and 7,036 is: 9,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.72 : 16,217.04 = 7,036 : x
  2. Step 2: Convert to fraction form
    11,752.72/16,217.04 = 7,036/x
  3. Step 3: Cross multiply
    11,752.72x = 16,217.04 × 7,036
  4. Step 4: Simplify right side
    11,752.72x = 114,103,093.44
  5. Step 5: Solve for x
    x = 114,103,093.44/11,752.72
  6. Step 6: Final answer
    x = 9,708.65

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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.