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Finding the Fourth Proportional to 12,042, 18,049.28 and 5,792.64

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Solution

The fourth proportional to 12,042, 18,049.28 and 5,792.64 is: 8,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042 : 18,049.28 = 5,792.64 : x
  2. Step 2: Convert to fraction form
    12,042/18,049.28 = 5,792.64/x
  3. Step 3: Cross multiply
    12,042x = 18,049.28 × 5,792.64
  4. Step 4: Simplify right side
    12,042x = 104,552,981.30
  5. Step 5: Solve for x
    x = 104,552,981.30/12,042
  6. Step 6: Final answer
    x = 8,682.36

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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.