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Finding the Fourth Proportional to 10,665.96, 15,993.66 and 3,268.63

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Solution

The fourth proportional to 10,665.96, 15,993.66 and 3,268.63 is: 4,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.96 : 15,993.66 = 3,268.63 : x
  2. Step 2: Convert to fraction form
    10,665.96/15,993.66 = 3,268.63/x
  3. Step 3: Cross multiply
    10,665.96x = 15,993.66 × 3,268.63
  4. Step 4: Simplify right side
    10,665.96x = 52,277,356.89
  5. Step 5: Solve for x
    x = 52,277,356.89/10,665.96
  6. Step 6: Final answer
    x = 4,901.33

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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.