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Finding the Fourth Proportional to 10,687.84, 16,007.10 and 7,403.26

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Solution

The fourth proportional to 10,687.84, 16,007.10 and 7,403.26 is: 11,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.84 : 16,007.10 = 7,403.26 : x
  2. Step 2: Convert to fraction form
    10,687.84/16,007.10 = 7,403.26/x
  3. Step 3: Cross multiply
    10,687.84x = 16,007.10 × 7,403.26
  4. Step 4: Simplify right side
    10,687.84x = 118,504,723.15
  5. Step 5: Solve for x
    x = 118,504,723.15/10,687.84
  6. Step 6: Final answer
    x = 11,087.81

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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.