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Finding the Fourth Proportional to 10,382.70, 14,327.67 and 6,404.19

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Solution

The fourth proportional to 10,382.70, 14,327.67 and 6,404.19 is: 8,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.70 : 14,327.67 = 6,404.19 : x
  2. Step 2: Convert to fraction form
    10,382.70/14,327.67 = 6,404.19/x
  3. Step 3: Cross multiply
    10,382.70x = 14,327.67 × 6,404.19
  4. Step 4: Simplify right side
    10,382.70x = 91,757,120.94
  5. Step 5: Solve for x
    x = 91,757,120.94/10,382.70
  6. Step 6: Final answer
    x = 8,837.50

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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.