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Finding the Fourth Proportional to 7,382.52, 10,185.44 and 4,195.44

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Solution

The fourth proportional to 7,382.52, 10,185.44 and 4,195.44 is: 5,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.52 : 10,185.44 = 4,195.44 : x
  2. Step 2: Convert to fraction form
    7,382.52/10,185.44 = 4,195.44/x
  3. Step 3: Cross multiply
    7,382.52x = 10,185.44 × 4,195.44
  4. Step 4: Simplify right side
    7,382.52x = 42,732,381.42
  5. Step 5: Solve for x
    x = 42,732,381.42/7,382.52
  6. Step 6: Final answer
    x = 5,788.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.