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Finding the Fourth Proportional to 12,687.47, 17,510.07 and 7,385.21

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Solution

The fourth proportional to 12,687.47, 17,510.07 and 7,385.21 is: 10,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.47 : 17,510.07 = 7,385.21 : x
  2. Step 2: Convert to fraction form
    12,687.47/17,510.07 = 7,385.21/x
  3. Step 3: Cross multiply
    12,687.47x = 17,510.07 × 7,385.21
  4. Step 4: Simplify right side
    12,687.47x = 129,315,456.51
  5. Step 5: Solve for x
    x = 129,315,456.51/12,687.47
  6. Step 6: Final answer
    x = 10,192.38

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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.