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Finding the Fourth Proportional to 12,410.73, 18,612.15 and 4,089.20

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Solution

The fourth proportional to 12,410.73, 18,612.15 and 4,089.20 is: 6,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.73 : 18,612.15 = 4,089.20 : x
  2. Step 2: Convert to fraction form
    12,410.73/18,612.15 = 4,089.20/x
  3. Step 3: Cross multiply
    12,410.73x = 18,612.15 × 4,089.20
  4. Step 4: Simplify right side
    12,410.73x = 76,108,695.38
  5. Step 5: Solve for x
    x = 76,108,695.38/12,410.73
  6. Step 6: Final answer
    x = 6,132.49

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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.