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Finding the Fourth Proportional to 10,965.90, 16,453.44 and 7,460.04

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Solution

The fourth proportional to 10,965.90, 16,453.44 and 7,460.04 is: 11,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.90 : 16,453.44 = 7,460.04 : x
  2. Step 2: Convert to fraction form
    10,965.90/16,453.44 = 7,460.04/x
  3. Step 3: Cross multiply
    10,965.90x = 16,453.44 × 7,460.04
  4. Step 4: Simplify right side
    10,965.90x = 122,743,320.54
  5. Step 5: Solve for x
    x = 122,743,320.54/10,965.90
  6. Step 6: Final answer
    x = 11,193.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.