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Finding the Fourth Proportional to 10,343.41, 14,274.21 and 5,867.05

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Solution

The fourth proportional to 10,343.41, 14,274.21 and 5,867.05 is: 8,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.41 : 14,274.21 = 5,867.05 : x
  2. Step 2: Convert to fraction form
    10,343.41/14,274.21 = 5,867.05/x
  3. Step 3: Cross multiply
    10,343.41x = 14,274.21 × 5,867.05
  4. Step 4: Simplify right side
    10,343.41x = 83,747,503.78
  5. Step 5: Solve for x
    x = 83,747,503.78/10,343.41
  6. Step 6: Final answer
    x = 8,096.70

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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.