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Finding the Fourth Proportional to 11,651.68, 16,080.07 and 6,935.32

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Solution

The fourth proportional to 11,651.68, 16,080.07 and 6,935.32 is: 9,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.68 : 16,080.07 = 6,935.32 : x
  2. Step 2: Convert to fraction form
    11,651.68/16,080.07 = 6,935.32/x
  3. Step 3: Cross multiply
    11,651.68x = 16,080.07 × 6,935.32
  4. Step 4: Simplify right side
    11,651.68x = 111,520,350.67
  5. Step 5: Solve for x
    x = 111,520,350.67/11,651.68
  6. Step 6: Final answer
    x = 9,571.19

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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.