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Finding the Fourth Proportional to 11,334.88, 16,983.13 and 6,943.17

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Solution

The fourth proportional to 11,334.88, 16,983.13 and 6,943.17 is: 10,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.88 : 16,983.13 = 6,943.17 : x
  2. Step 2: Convert to fraction form
    11,334.88/16,983.13 = 6,943.17/x
  3. Step 3: Cross multiply
    11,334.88x = 16,983.13 × 6,943.17
  4. Step 4: Simplify right side
    11,334.88x = 117,916,758.72
  5. Step 5: Solve for x
    x = 117,916,758.72/11,334.88
  6. Step 6: Final answer
    x = 10,403.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.