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Finding the Fourth Proportional to 8,112.04, 11,188.92 and 4,969.76

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Solution

The fourth proportional to 8,112.04, 11,188.92 and 4,969.76 is: 6,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.04 : 11,188.92 = 4,969.76 : x
  2. Step 2: Convert to fraction form
    8,112.04/11,188.92 = 4,969.76/x
  3. Step 3: Cross multiply
    8,112.04x = 11,188.92 × 4,969.76
  4. Step 4: Simplify right side
    8,112.04x = 55,606,247.06
  5. Step 5: Solve for x
    x = 55,606,247.06/8,112.04
  6. Step 6: Final answer
    x = 6,854.78

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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.