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Finding the Fourth Proportional to 8,104.82, 11,178.69 and 6,115.46

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Solution

The fourth proportional to 8,104.82, 11,178.69 and 6,115.46 is: 8,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.82 : 11,178.69 = 6,115.46 : x
  2. Step 2: Convert to fraction form
    8,104.82/11,178.69 = 6,115.46/x
  3. Step 3: Cross multiply
    8,104.82x = 11,178.69 × 6,115.46
  4. Step 4: Simplify right side
    8,104.82x = 68,362,831.55
  5. Step 5: Solve for x
    x = 68,362,831.55/8,104.82
  6. Step 6: Final answer
    x = 8,434.84

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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.