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Finding the Fourth Proportional to 10,664.99, 14,717.71 and 5,949.57

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Solution

The fourth proportional to 10,664.99, 14,717.71 and 5,949.57 is: 8,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.99 : 14,717.71 = 5,949.57 : x
  2. Step 2: Convert to fraction form
    10,664.99/14,717.71 = 5,949.57/x
  3. Step 3: Cross multiply
    10,664.99x = 14,717.71 × 5,949.57
  4. Step 4: Simplify right side
    10,664.99x = 87,564,045.88
  5. Step 5: Solve for x
    x = 87,564,045.88/10,664.99
  6. Step 6: Final answer
    x = 8,210.42

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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.