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Finding the Fourth Proportional to 10,649.19, 14,696.61 and 5,933.91

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Solution

The fourth proportional to 10,649.19, 14,696.61 and 5,933.91 is: 8,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.19 : 14,696.61 = 5,933.91 : x
  2. Step 2: Convert to fraction form
    10,649.19/14,696.61 = 5,933.91/x
  3. Step 3: Cross multiply
    10,649.19x = 14,696.61 × 5,933.91
  4. Step 4: Simplify right side
    10,649.19x = 87,208,361.05
  5. Step 5: Solve for x
    x = 87,208,361.05/10,649.19
  6. Step 6: Final answer
    x = 8,189.20

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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.