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Finding the Fourth Proportional to 8,281.87, 11,429.57 and 4,924.82

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Solution

The fourth proportional to 8,281.87, 11,429.57 and 4,924.82 is: 6,796.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.87 : 11,429.57 = 4,924.82 : x
  2. Step 2: Convert to fraction form
    8,281.87/11,429.57 = 4,924.82/x
  3. Step 3: Cross multiply
    8,281.87x = 11,429.57 × 4,924.82
  4. Step 4: Simplify right side
    8,281.87x = 56,288,615.81
  5. Step 5: Solve for x
    x = 56,288,615.81/8,281.87
  6. Step 6: Final answer
    x = 6,796.61

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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.