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Finding the Fourth Proportional to 13,016.28, 17,957.82 and 7,978.68

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Solution

The fourth proportional to 13,016.28, 17,957.82 and 7,978.68 is: 11,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.28 : 17,957.82 = 7,978.68 : x
  2. Step 2: Convert to fraction form
    13,016.28/17,957.82 = 7,978.68/x
  3. Step 3: Cross multiply
    13,016.28x = 17,957.82 × 7,978.68
  4. Step 4: Simplify right side
    13,016.28x = 143,279,699.28
  5. Step 5: Solve for x
    x = 143,279,699.28/13,016.28
  6. Step 6: Final answer
    x = 11,007.73

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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.