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Finding the Fourth Proportional to 11,675.81, 16,111.96 and 6,641.26

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Solution

The fourth proportional to 11,675.81, 16,111.96 and 6,641.26 is: 9,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.81 : 16,111.96 = 6,641.26 : x
  2. Step 2: Convert to fraction form
    11,675.81/16,111.96 = 6,641.26/x
  3. Step 3: Cross multiply
    11,675.81x = 16,111.96 × 6,641.26
  4. Step 4: Simplify right side
    11,675.81x = 107,003,715.47
  5. Step 5: Solve for x
    x = 107,003,715.47/11,675.81
  6. Step 6: Final answer
    x = 9,164.56

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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.