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Finding the Fourth Proportional to 11,674.69, 16,099.83 and 7,854.93

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Solution

The fourth proportional to 11,674.69, 16,099.83 and 7,854.93 is: 10,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.69 : 16,099.83 = 7,854.93 : x
  2. Step 2: Convert to fraction form
    11,674.69/16,099.83 = 7,854.93/x
  3. Step 3: Cross multiply
    11,674.69x = 16,099.83 × 7,854.93
  4. Step 4: Simplify right side
    11,674.69x = 126,463,037.66
  5. Step 5: Solve for x
    x = 126,463,037.66/11,674.69
  6. Step 6: Final answer
    x = 10,832.24

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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.