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Finding the Fourth Proportional to 7,535.92, 10,399.29 and 4,178.79

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Solution

The fourth proportional to 7,535.92, 10,399.29 and 4,178.79 is: 5,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.92 : 10,399.29 = 4,178.79 : x
  2. Step 2: Convert to fraction form
    7,535.92/10,399.29 = 4,178.79/x
  3. Step 3: Cross multiply
    7,535.92x = 10,399.29 × 4,178.79
  4. Step 4: Simplify right side
    7,535.92x = 43,456,449.06
  5. Step 5: Solve for x
    x = 43,456,449.06/7,535.92
  6. Step 6: Final answer
    x = 5,766.58

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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.