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Finding the Fourth Proportional to 8,109.28, 11,185.08 and 7,838.32

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Solution

The fourth proportional to 8,109.28, 11,185.08 and 7,838.32 is: 10,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.28 : 11,185.08 = 7,838.32 : x
  2. Step 2: Convert to fraction form
    8,109.28/11,185.08 = 7,838.32/x
  3. Step 3: Cross multiply
    8,109.28x = 11,185.08 × 7,838.32
  4. Step 4: Simplify right side
    8,109.28x = 87,672,236.27
  5. Step 5: Solve for x
    x = 87,672,236.27/8,109.28
  6. Step 6: Final answer
    x = 10,811.35

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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.