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Finding the Fourth Proportional to 10,786.83, 14,882.92 and 6,311.68

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Solution

The fourth proportional to 10,786.83, 14,882.92 and 6,311.68 is: 8,708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.83 : 14,882.92 = 6,311.68 : x
  2. Step 2: Convert to fraction form
    10,786.83/14,882.92 = 6,311.68/x
  3. Step 3: Cross multiply
    10,786.83x = 14,882.92 × 6,311.68
  4. Step 4: Simplify right side
    10,786.83x = 93,936,228.51
  5. Step 5: Solve for x
    x = 93,936,228.51/10,786.83
  6. Step 6: Final answer
    x = 8,708.42

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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.