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Finding the Fourth Proportional to 10,664.88, 14,717.49 and 5,949.17

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Solution

The fourth proportional to 10,664.88, 14,717.49 and 5,949.17 is: 8,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.88 : 14,717.49 = 5,949.17 : x
  2. Step 2: Convert to fraction form
    10,664.88/14,717.49 = 5,949.17/x
  3. Step 3: Cross multiply
    10,664.88x = 14,717.49 × 5,949.17
  4. Step 4: Simplify right side
    10,664.88x = 87,556,776.40
  5. Step 5: Solve for x
    x = 87,556,776.40/10,664.88
  6. Step 6: Final answer
    x = 8,209.82

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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.