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Finding the Fourth Proportional to 10,296.49, 14,201.65 and 6,520.27

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Solution

The fourth proportional to 10,296.49, 14,201.65 and 6,520.27 is: 8,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.49 : 14,201.65 = 6,520.27 : x
  2. Step 2: Convert to fraction form
    10,296.49/14,201.65 = 6,520.27/x
  3. Step 3: Cross multiply
    10,296.49x = 14,201.65 × 6,520.27
  4. Step 4: Simplify right side
    10,296.49x = 92,598,592.45
  5. Step 5: Solve for x
    x = 92,598,592.45/10,296.49
  6. Step 6: Final answer
    x = 8,993.22

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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.