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Finding the Fourth Proportional to 11,257.96, 16,878.36 and 6,814.68

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Solution

The fourth proportional to 11,257.96, 16,878.36 and 6,814.68 is: 10,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.96 : 16,878.36 = 6,814.68 : x
  2. Step 2: Convert to fraction form
    11,257.96/16,878.36 = 6,814.68/x
  3. Step 3: Cross multiply
    11,257.96x = 16,878.36 × 6,814.68
  4. Step 4: Simplify right side
    11,257.96x = 115,020,622.32
  5. Step 5: Solve for x
    x = 115,020,622.32/11,257.96
  6. Step 6: Final answer
    x = 10,216.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.