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Finding the Fourth Proportional to 7,549.43, 10,418.00 and 4,192.14

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Solution

The fourth proportional to 7,549.43, 10,418.00 and 4,192.14 is: 5,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.43 : 10,418.00 = 4,192.14 : x
  2. Step 2: Convert to fraction form
    7,549.43/10,418.00 = 4,192.14/x
  3. Step 3: Cross multiply
    7,549.43x = 10,418.00 × 4,192.14
  4. Step 4: Simplify right side
    7,549.43x = 43,673,693.56
  5. Step 5: Solve for x
    x = 43,673,693.56/7,549.43
  6. Step 6: Final answer
    x = 5,785.04

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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.