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Finding the Fourth Proportional to 11,752.85, 16,217.90 and 6,716.07

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Solution

The fourth proportional to 11,752.85, 16,217.90 and 6,716.07 is: 9,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.85 : 16,217.90 = 6,716.07 : x
  2. Step 2: Convert to fraction form
    11,752.85/16,217.90 = 6,716.07/x
  3. Step 3: Cross multiply
    11,752.85x = 16,217.90 × 6,716.07
  4. Step 4: Simplify right side
    11,752.85x = 108,920,551.65
  5. Step 5: Solve for x
    x = 108,920,551.65/11,752.85
  6. Step 6: Final answer
    x = 9,267.59

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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.