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Finding the Fourth Proportional to 11,674.57, 16,113.42 and 6,892.75

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Solution

The fourth proportional to 11,674.57, 16,113.42 and 6,892.75 is: 9,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.57 : 16,113.42 = 6,892.75 : x
  2. Step 2: Convert to fraction form
    11,674.57/16,113.42 = 6,892.75/x
  3. Step 3: Cross multiply
    11,674.57x = 16,113.42 × 6,892.75
  4. Step 4: Simplify right side
    11,674.57x = 111,065,775.71
  5. Step 5: Solve for x
    x = 111,065,775.71/11,674.57
  6. Step 6: Final answer
    x = 9,513.48

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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.