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Finding the Fourth Proportional to 12,712, 17,542.56 and 7,744

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Solution

The fourth proportional to 12,712, 17,542.56 and 7,744 is: 10,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712 : 17,542.56 = 7,744 : x
  2. Step 2: Convert to fraction form
    12,712/17,542.56 = 7,744/x
  3. Step 3: Cross multiply
    12,712x = 17,542.56 × 7,744
  4. Step 4: Simplify right side
    12,712x = 135,849,584.64
  5. Step 5: Solve for x
    x = 135,849,584.64/12,712
  6. Step 6: Final answer
    x = 10,686.72

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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.