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Finding the Fourth Proportional to 11,171.71, 15,415.77 and 6,695.33

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Solution

The fourth proportional to 11,171.71, 15,415.77 and 6,695.33 is: 9,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171.71 : 15,415.77 = 6,695.33 : x
  2. Step 2: Convert to fraction form
    11,171.71/15,415.77 = 6,695.33/x
  3. Step 3: Cross multiply
    11,171.71x = 15,415.77 × 6,695.33
  4. Step 4: Simplify right side
    11,171.71x = 103,213,667.35
  5. Step 5: Solve for x
    x = 103,213,667.35/11,171.71
  6. Step 6: Final answer
    x = 9,238.85

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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.