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Finding the Fourth Proportional to 8,311.66, 11,470.15 and 4,534.85

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Solution

The fourth proportional to 8,311.66, 11,470.15 and 4,534.85 is: 6,258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.66 : 11,470.15 = 4,534.85 : x
  2. Step 2: Convert to fraction form
    8,311.66/11,470.15 = 4,534.85/x
  3. Step 3: Cross multiply
    8,311.66x = 11,470.15 × 4,534.85
  4. Step 4: Simplify right side
    8,311.66x = 52,015,409.73
  5. Step 5: Solve for x
    x = 52,015,409.73/8,311.66
  6. Step 6: Final answer
    x = 6,258.13

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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.