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Finding the Fourth Proportional to 10,049, 15,073.92 and 3,808.40

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Solution

The fourth proportional to 10,049, 15,073.92 and 3,808.40 is: 5,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049 : 15,073.92 = 3,808.40 : x
  2. Step 2: Convert to fraction form
    10,049/15,073.92 = 3,808.40/x
  3. Step 3: Cross multiply
    10,049x = 15,073.92 × 3,808.40
  4. Step 4: Simplify right side
    10,049x = 57,407,516.93
  5. Step 5: Solve for x
    x = 57,407,516.93/10,049
  6. Step 6: Final answer
    x = 5,712.76

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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.