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Finding the Fourth Proportional to 10,752.36, 16,118.82 and 3,822

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Solution

The fourth proportional to 10,752.36, 16,118.82 and 3,822 is: 5,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.36 : 16,118.82 = 3,822 : x
  2. Step 2: Convert to fraction form
    10,752.36/16,118.82 = 3,822/x
  3. Step 3: Cross multiply
    10,752.36x = 16,118.82 × 3,822
  4. Step 4: Simplify right side
    10,752.36x = 61,606,130.04
  5. Step 5: Solve for x
    x = 61,606,130.04/10,752.36
  6. Step 6: Final answer
    x = 5,729.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.