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Finding the Fourth Proportional to 8,311.86, 11,470.34 and 4,534.96

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Solution

The fourth proportional to 8,311.86, 11,470.34 and 4,534.96 is: 6,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.86 : 11,470.34 = 4,534.96 : x
  2. Step 2: Convert to fraction form
    8,311.86/11,470.34 = 4,534.96/x
  3. Step 3: Cross multiply
    8,311.86x = 11,470.34 × 4,534.96
  4. Step 4: Simplify right side
    8,311.86x = 52,017,533.09
  5. Step 5: Solve for x
    x = 52,017,533.09/8,311.86
  6. Step 6: Final answer
    x = 6,258.23

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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.