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Finding the Fourth Proportional to 11,814.75, 16,303.83 and 6,437.21

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Solution

The fourth proportional to 11,814.75, 16,303.83 and 6,437.21 is: 8,883.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.75 : 16,303.83 = 6,437.21 : x
  2. Step 2: Convert to fraction form
    11,814.75/16,303.83 = 6,437.21/x
  3. Step 3: Cross multiply
    11,814.75x = 16,303.83 × 6,437.21
  4. Step 4: Simplify right side
    11,814.75x = 104,951,096.00
  5. Step 5: Solve for x
    x = 104,951,096.00/11,814.75
  6. Step 6: Final answer
    x = 8,883.06

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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.