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Finding the Fourth Proportional to 7,550.10, 10,419.17 and 4,192.92

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Solution

The fourth proportional to 7,550.10, 10,419.17 and 4,192.92 is: 5,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,550.10 : 10,419.17 = 4,192.92 : x
  2. Step 2: Convert to fraction form
    7,550.10/10,419.17 = 4,192.92/x
  3. Step 3: Cross multiply
    7,550.10x = 10,419.17 × 4,192.92
  4. Step 4: Simplify right side
    7,550.10x = 43,686,746.28
  5. Step 5: Solve for x
    x = 43,686,746.28/7,550.10
  6. Step 6: Final answer
    x = 5,786.25

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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.