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Finding the Fourth Proportional to 10,196.93, 15,297.73 and 3,623.11

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Solution

The fourth proportional to 10,196.93, 15,297.73 and 3,623.11 is: 5,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.93 : 15,297.73 = 3,623.11 : x
  2. Step 2: Convert to fraction form
    10,196.93/15,297.73 = 3,623.11/x
  3. Step 3: Cross multiply
    10,196.93x = 15,297.73 × 3,623.11
  4. Step 4: Simplify right side
    10,196.93x = 55,425,311.24
  5. Step 5: Solve for x
    x = 55,425,311.24/10,196.93
  6. Step 6: Final answer
    x = 5,435.49

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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.