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Finding the Fourth Proportional to 10,665.58, 14,717.22 and 5,949.58

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Solution

The fourth proportional to 10,665.58, 14,717.22 and 5,949.58 is: 8,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.58 : 14,717.22 = 5,949.58 : x
  2. Step 2: Convert to fraction form
    10,665.58/14,717.22 = 5,949.58/x
  3. Step 3: Cross multiply
    10,665.58x = 14,717.22 × 5,949.58
  4. Step 4: Simplify right side
    10,665.58x = 87,561,277.77
  5. Step 5: Solve for x
    x = 87,561,277.77/10,665.58
  6. Step 6: Final answer
    x = 8,209.71

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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.