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Finding the Fourth Proportional to 11,965.24, 16,520.16 and 7,490.80

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Solution

The fourth proportional to 11,965.24, 16,520.16 and 7,490.80 is: 10,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.24 : 16,520.16 = 7,490.80 : x
  2. Step 2: Convert to fraction form
    11,965.24/16,520.16 = 7,490.80/x
  3. Step 3: Cross multiply
    11,965.24x = 16,520.16 × 7,490.80
  4. Step 4: Simplify right side
    11,965.24x = 123,749,214.53
  5. Step 5: Solve for x
    x = 123,749,214.53/11,965.24
  6. Step 6: Final answer
    x = 10,342.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.