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Finding the Fourth Proportional to 10,821.43, 14,934 and 6,344.56

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Solution

The fourth proportional to 10,821.43, 14,934 and 6,344.56 is: 8,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.43 : 14,934 = 6,344.56 : x
  2. Step 2: Convert to fraction form
    10,821.43/14,934 = 6,344.56/x
  3. Step 3: Cross multiply
    10,821.43x = 14,934 × 6,344.56
  4. Step 4: Simplify right side
    10,821.43x = 94,749,659.04
  5. Step 5: Solve for x
    x = 94,749,659.04/10,821.43
  6. Step 6: Final answer
    x = 8,755.74

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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.