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Finding the Fourth Proportional to 8,282.70, 11,429.01 and 4,924.29

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Solution

The fourth proportional to 8,282.70, 11,429.01 and 4,924.29 is: 6,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.70 : 11,429.01 = 4,924.29 : x
  2. Step 2: Convert to fraction form
    8,282.70/11,429.01 = 4,924.29/x
  3. Step 3: Cross multiply
    8,282.70x = 11,429.01 × 4,924.29
  4. Step 4: Simplify right side
    8,282.70x = 56,279,759.65
  5. Step 5: Solve for x
    x = 56,279,759.65/8,282.70
  6. Step 6: Final answer
    x = 6,794.86

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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.