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Finding the Fourth Proportional to 11,342.80, 17,016.76 and 5,188.56

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Solution

The fourth proportional to 11,342.80, 17,016.76 and 5,188.56 is: 7,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.80 : 17,016.76 = 5,188.56 : x
  2. Step 2: Convert to fraction form
    11,342.80/17,016.76 = 5,188.56/x
  3. Step 3: Cross multiply
    11,342.80x = 17,016.76 × 5,188.56
  4. Step 4: Simplify right side
    11,342.80x = 88,292,480.27
  5. Step 5: Solve for x
    x = 88,292,480.27/11,342.80
  6. Step 6: Final answer
    x = 7,784.01

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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.