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Finding the Fourth Proportional to 7,535.98, 10,399.66 and 4,178.84

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Solution

The fourth proportional to 7,535.98, 10,399.66 and 4,178.84 is: 5,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.98 : 10,399.66 = 4,178.84 : x
  2. Step 2: Convert to fraction form
    7,535.98/10,399.66 = 4,178.84/x
  3. Step 3: Cross multiply
    7,535.98x = 10,399.66 × 4,178.84
  4. Step 4: Simplify right side
    7,535.98x = 43,458,452.75
  5. Step 5: Solve for x
    x = 43,458,452.75/7,535.98
  6. Step 6: Final answer
    x = 5,766.79

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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.