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Finding the Fourth Proportional to 11,685.69, 16,131.20 and 7,699.86

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Solution

The fourth proportional to 11,685.69, 16,131.20 and 7,699.86 is: 10,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.69 : 16,131.20 = 7,699.86 : x
  2. Step 2: Convert to fraction form
    11,685.69/16,131.20 = 7,699.86/x
  3. Step 3: Cross multiply
    11,685.69x = 16,131.20 × 7,699.86
  4. Step 4: Simplify right side
    11,685.69x = 124,207,943.13
  5. Step 5: Solve for x
    x = 124,207,943.13/11,685.69
  6. Step 6: Final answer
    x = 10,629.06

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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.