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Finding the Fourth Proportional to 12,637.72, 18,964.78 and 5,712.28

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Solution

The fourth proportional to 12,637.72, 18,964.78 and 5,712.28 is: 8,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.72 : 18,964.78 = 5,712.28 : x
  2. Step 2: Convert to fraction form
    12,637.72/18,964.78 = 5,712.28/x
  3. Step 3: Cross multiply
    12,637.72x = 18,964.78 × 5,712.28
  4. Step 4: Simplify right side
    12,637.72x = 108,332,133.50
  5. Step 5: Solve for x
    x = 108,332,133.50/12,637.72
  6. Step 6: Final answer
    x = 8,572.13

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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.