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Finding the Fourth Proportional to 10,137, 15,203.16 and 3,894.96

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Solution

The fourth proportional to 10,137, 15,203.16 and 3,894.96 is: 5,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 15,203.16 = 3,894.96 : x
  2. Step 2: Convert to fraction form
    10,137/15,203.16 = 3,894.96/x
  3. Step 3: Cross multiply
    10,137x = 15,203.16 × 3,894.96
  4. Step 4: Simplify right side
    10,137x = 59,215,700.07
  5. Step 5: Solve for x
    x = 59,215,700.07/10,137
  6. Step 6: Final answer
    x = 5,841.54

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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.