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Finding the Fourth Proportional to 10,411.34, 14,366.31 and 6,379.97

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Solution

The fourth proportional to 10,411.34, 14,366.31 and 6,379.97 is: 8,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.34 : 14,366.31 = 6,379.97 : x
  2. Step 2: Convert to fraction form
    10,411.34/14,366.31 = 6,379.97/x
  3. Step 3: Cross multiply
    10,411.34x = 14,366.31 × 6,379.97
  4. Step 4: Simplify right side
    10,411.34x = 91,656,554.98
  5. Step 5: Solve for x
    x = 91,656,554.98/10,411.34
  6. Step 6: Final answer
    x = 8,803.54

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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.