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Finding the Fourth Proportional to 11,182.09, 15,434 and 6,708.73

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Solution

The fourth proportional to 11,182.09, 15,434 and 6,708.73 is: 9,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182.09 : 15,434 = 6,708.73 : x
  2. Step 2: Convert to fraction form
    11,182.09/15,434 = 6,708.73/x
  3. Step 3: Cross multiply
    11,182.09x = 15,434 × 6,708.73
  4. Step 4: Simplify right side
    11,182.09x = 103,542,538.82
  5. Step 5: Solve for x
    x = 103,542,538.82/11,182.09
  6. Step 6: Final answer
    x = 9,259.68

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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.