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Finding the Fourth Proportional to 8,311.96, 11,470.46 and 4,535.06

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Solution

The fourth proportional to 8,311.96, 11,470.46 and 4,535.06 is: 6,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.96 : 11,470.46 = 4,535.06 : x
  2. Step 2: Convert to fraction form
    8,311.96/11,470.46 = 4,535.06/x
  3. Step 3: Cross multiply
    8,311.96x = 11,470.46 × 4,535.06
  4. Step 4: Simplify right side
    8,311.96x = 52,019,224.33
  5. Step 5: Solve for x
    x = 52,019,224.33/8,311.96
  6. Step 6: Final answer
    x = 6,258.36

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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.