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Finding the Fourth Proportional to 8,311.97, 11,470.62 and 4,956.71

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Solution

The fourth proportional to 8,311.97, 11,470.62 and 4,956.71 is: 6,840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.97 : 11,470.62 = 4,956.71 : x
  2. Step 2: Convert to fraction form
    8,311.97/11,470.62 = 4,956.71/x
  3. Step 3: Cross multiply
    8,311.97x = 11,470.62 × 4,956.71
  4. Step 4: Simplify right side
    8,311.97x = 56,856,479.51
  5. Step 5: Solve for x
    x = 56,856,479.51/8,311.97
  6. Step 6: Final answer
    x = 6,840.32

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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.