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Finding the Fourth Proportional to 11,716.20, 17,574.24 and 6,782.64

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Solution

The fourth proportional to 11,716.20, 17,574.24 and 6,782.64 is: 10,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.20 : 17,574.24 = 6,782.64 : x
  2. Step 2: Convert to fraction form
    11,716.20/17,574.24 = 6,782.64/x
  3. Step 3: Cross multiply
    11,716.20x = 17,574.24 × 6,782.64
  4. Step 4: Simplify right side
    11,716.20x = 119,199,743.19
  5. Step 5: Solve for x
    x = 119,199,743.19/11,716.20
  6. Step 6: Final answer
    x = 10,173.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.