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Finding the Fourth Proportional to 10,361.44, 14,298.84 and 6,169.84

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Solution

The fourth proportional to 10,361.44, 14,298.84 and 6,169.84 is: 8,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.44 : 14,298.84 = 6,169.84 : x
  2. Step 2: Convert to fraction form
    10,361.44/14,298.84 = 6,169.84/x
  3. Step 3: Cross multiply
    10,361.44x = 14,298.84 × 6,169.84
  4. Step 4: Simplify right side
    10,361.44x = 88,221,554.99
  5. Step 5: Solve for x
    x = 88,221,554.99/10,361.44
  6. Step 6: Final answer
    x = 8,514.41

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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.