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Finding the Fourth Proportional to 7,716.35, 11,518.62 and 6,782.12

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Solution

The fourth proportional to 7,716.35, 11,518.62 and 6,782.12 is: 10,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.35 : 11,518.62 = 6,782.12 : x
  2. Step 2: Convert to fraction form
    7,716.35/11,518.62 = 6,782.12/x
  3. Step 3: Cross multiply
    7,716.35x = 11,518.62 × 6,782.12
  4. Step 4: Simplify right side
    7,716.35x = 78,120,605.48
  5. Step 5: Solve for x
    x = 78,120,605.48/7,716.35
  6. Step 6: Final answer
    x = 10,124.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.