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Finding the Fourth Proportional to 10,367.79, 14,296.46 and 6,824.85

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Solution

The fourth proportional to 10,367.79, 14,296.46 and 6,824.85 is: 9,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.79 : 14,296.46 = 6,824.85 : x
  2. Step 2: Convert to fraction form
    10,367.79/14,296.46 = 6,824.85/x
  3. Step 3: Cross multiply
    10,367.79x = 14,296.46 × 6,824.85
  4. Step 4: Simplify right side
    10,367.79x = 97,571,195.03
  5. Step 5: Solve for x
    x = 97,571,195.03/10,367.79
  6. Step 6: Final answer
    x = 9,410.99

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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.