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Finding the Fourth Proportional to 12,401.04, 17,113.36 and 6,812

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Solution

The fourth proportional to 12,401.04, 17,113.36 and 6,812 is: 9,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.04 : 17,113.36 = 6,812 : x
  2. Step 2: Convert to fraction form
    12,401.04/17,113.36 = 6,812/x
  3. Step 3: Cross multiply
    12,401.04x = 17,113.36 × 6,812
  4. Step 4: Simplify right side
    12,401.04x = 116,576,208.32
  5. Step 5: Solve for x
    x = 116,576,208.32/12,401.04
  6. Step 6: Final answer
    x = 9,400.52

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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.