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Finding the Fourth Proportional to 10,674.26, 14,731.06 and 6,199.41

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Solution

The fourth proportional to 10,674.26, 14,731.06 and 6,199.41 is: 8,555.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.26 : 14,731.06 = 6,199.41 : x
  2. Step 2: Convert to fraction form
    10,674.26/14,731.06 = 6,199.41/x
  3. Step 3: Cross multiply
    10,674.26x = 14,731.06 × 6,199.41
  4. Step 4: Simplify right side
    10,674.26x = 91,323,865.18
  5. Step 5: Solve for x
    x = 91,323,865.18/10,674.26
  6. Step 6: Final answer
    x = 8,555.53

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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.