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Finding the Fourth Proportional to 11,673.67, 16,127.23 and 7,650.06

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Solution

The fourth proportional to 11,673.67, 16,127.23 and 7,650.06 is: 10,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.67 : 16,127.23 = 7,650.06 : x
  2. Step 2: Convert to fraction form
    11,673.67/16,127.23 = 7,650.06/x
  3. Step 3: Cross multiply
    11,673.67x = 16,127.23 × 7,650.06
  4. Step 4: Simplify right side
    11,673.67x = 123,374,277.13
  5. Step 5: Solve for x
    x = 123,374,277.13/11,673.67
  6. Step 6: Final answer
    x = 10,568.59

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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.