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Finding the Fourth Proportional to 7,550.13, 10,419 and 4,192.94

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Solution

The fourth proportional to 7,550.13, 10,419 and 4,192.94 is: 5,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.13 : 10,419 = 4,192.94 : x
  2. Step 2: Convert to fraction form
    7,550.13/10,419 = 4,192.94/x
  3. Step 3: Cross multiply
    7,550.13x = 10,419 × 4,192.94
  4. Step 4: Simplify right side
    7,550.13x = 43,686,189.77
  5. Step 5: Solve for x
    x = 43,686,189.77/7,550.13
  6. Step 6: Final answer
    x = 5,786.15

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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.