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Finding the Fourth Proportional to 10,370.68, 14,310.27 and 6,339.54

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Solution

The fourth proportional to 10,370.68, 14,310.27 and 6,339.54 is: 8,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.68 : 14,310.27 = 6,339.54 : x
  2. Step 2: Convert to fraction form
    10,370.68/14,310.27 = 6,339.54/x
  3. Step 3: Cross multiply
    10,370.68x = 14,310.27 × 6,339.54
  4. Step 4: Simplify right side
    10,370.68x = 90,720,425.83
  5. Step 5: Solve for x
    x = 90,720,425.83/10,370.68
  6. Step 6: Final answer
    x = 8,747.78

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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.