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Finding the Fourth Proportional to 12,628.80, 17,438.76 and 7,921.20

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Solution

The fourth proportional to 12,628.80, 17,438.76 and 7,921.20 is: 10,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,628.80 : 17,438.76 = 7,921.20 : x
  2. Step 2: Convert to fraction form
    12,628.80/17,438.76 = 7,921.20/x
  3. Step 3: Cross multiply
    12,628.80x = 17,438.76 × 7,921.20
  4. Step 4: Simplify right side
    12,628.80x = 138,135,905.71
  5. Step 5: Solve for x
    x = 138,135,905.71/12,628.80
  6. Step 6: Final answer
    x = 10,938.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.