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Finding the Fourth Proportional to 11,600.69, 16,015.82 and 7,628.65

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Solution

The fourth proportional to 11,600.69, 16,015.82 and 7,628.65 is: 10,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.69 : 16,015.82 = 7,628.65 : x
  2. Step 2: Convert to fraction form
    11,600.69/16,015.82 = 7,628.65/x
  3. Step 3: Cross multiply
    11,600.69x = 16,015.82 × 7,628.65
  4. Step 4: Simplify right side
    11,600.69x = 122,179,005.16
  5. Step 5: Solve for x
    x = 122,179,005.16/11,600.69
  6. Step 6: Final answer
    x = 10,532.05

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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.