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Finding the Fourth Proportional to 10,353.44, 14,287.80 and 6,161.84

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Solution

The fourth proportional to 10,353.44, 14,287.80 and 6,161.84 is: 8,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.44 : 14,287.80 = 6,161.84 : x
  2. Step 2: Convert to fraction form
    10,353.44/14,287.80 = 6,161.84/x
  3. Step 3: Cross multiply
    10,353.44x = 14,287.80 × 6,161.84
  4. Step 4: Simplify right side
    10,353.44x = 88,039,137.55
  5. Step 5: Solve for x
    x = 88,039,137.55/10,353.44
  6. Step 6: Final answer
    x = 8,503.37

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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.