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Finding the Fourth Proportional to 7,382.05, 10,186.92 and 4,024.78

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Solution

The fourth proportional to 7,382.05, 10,186.92 and 4,024.78 is: 5,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.05 : 10,186.92 = 4,024.78 : x
  2. Step 2: Convert to fraction form
    7,382.05/10,186.92 = 4,024.78/x
  3. Step 3: Cross multiply
    7,382.05x = 10,186.92 × 4,024.78
  4. Step 4: Simplify right side
    7,382.05x = 41,000,111.88
  5. Step 5: Solve for x
    x = 41,000,111.88/7,382.05
  6. Step 6: Final answer
    x = 5,554.03

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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.