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Finding the Fourth Proportional to 12,411.70, 17,121.20 and 7,628.31

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Solution

The fourth proportional to 12,411.70, 17,121.20 and 7,628.31 is: 10,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.70 : 17,121.20 = 7,628.31 : x
  2. Step 2: Convert to fraction form
    12,411.70/17,121.20 = 7,628.31/x
  3. Step 3: Cross multiply
    12,411.70x = 17,121.20 × 7,628.31
  4. Step 4: Simplify right side
    12,411.70x = 130,605,821.17
  5. Step 5: Solve for x
    x = 130,605,821.17/12,411.70
  6. Step 6: Final answer
    x = 10,522.80

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