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Finding the Fourth Proportional to 7,382.00, 10,186.97 and 4,024.82

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Solution

The fourth proportional to 7,382.00, 10,186.97 and 4,024.82 is: 5,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.00 : 10,186.97 = 4,024.82 : x
  2. Step 2: Convert to fraction form
    7,382.00/10,186.97 = 4,024.82/x
  3. Step 3: Cross multiply
    7,382.00x = 10,186.97 × 4,024.82
  4. Step 4: Simplify right side
    7,382.00x = 41,000,649.54
  5. Step 5: Solve for x
    x = 41,000,649.54/7,382.00
  6. Step 6: Final answer
    x = 5,554.14

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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.