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Finding the Fourth Proportional to 11,515.16, 15,892.83 and 7,268.54

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Solution

The fourth proportional to 11,515.16, 15,892.83 and 7,268.54 is: 10,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.16 : 15,892.83 = 7,268.54 : x
  2. Step 2: Convert to fraction form
    11,515.16/15,892.83 = 7,268.54/x
  3. Step 3: Cross multiply
    11,515.16x = 15,892.83 × 7,268.54
  4. Step 4: Simplify right side
    11,515.16x = 115,517,670.57
  5. Step 5: Solve for x
    x = 115,517,670.57/11,515.16
  6. Step 6: Final answer
    x = 10,031.79

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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.