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Finding the Fourth Proportional to 10,199.48, 15,301.64 and 3,179.16

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Solution

The fourth proportional to 10,199.48, 15,301.64 and 3,179.16 is: 4,769.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.48 : 15,301.64 = 3,179.16 : x
  2. Step 2: Convert to fraction form
    10,199.48/15,301.64 = 3,179.16/x
  3. Step 3: Cross multiply
    10,199.48x = 15,301.64 × 3,179.16
  4. Step 4: Simplify right side
    10,199.48x = 48,646,361.82
  5. Step 5: Solve for x
    x = 48,646,361.82/10,199.48
  6. Step 6: Final answer
    x = 4,769.49

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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.