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Finding the Fourth Proportional to 10,406.43, 14,360.13 and 6,373.94

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Solution

The fourth proportional to 10,406.43, 14,360.13 and 6,373.94 is: 8,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.43 : 14,360.13 = 6,373.94 : x
  2. Step 2: Convert to fraction form
    10,406.43/14,360.13 = 6,373.94/x
  3. Step 3: Cross multiply
    10,406.43x = 14,360.13 × 6,373.94
  4. Step 4: Simplify right side
    10,406.43x = 91,530,535.21
  5. Step 5: Solve for x
    x = 91,530,535.21/10,406.43
  6. Step 6: Final answer
    x = 8,795.57

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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.