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Finding the Fourth Proportional to 10,296.96, 14,224.32 and 8,198.40

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Solution

The fourth proportional to 10,296.96, 14,224.32 and 8,198.40 is: 11,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.96 : 14,224.32 = 8,198.40 : x
  2. Step 2: Convert to fraction form
    10,296.96/14,224.32 = 8,198.40/x
  3. Step 3: Cross multiply
    10,296.96x = 14,224.32 × 8,198.40
  4. Step 4: Simplify right side
    10,296.96x = 116,616,665.09
  5. Step 5: Solve for x
    x = 116,616,665.09/10,296.96
  6. Step 6: Final answer
    x = 11,325.35

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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.