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Finding the Fourth Proportional to 7,540.76, 10,406.31 and 4,183.79

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Solution

The fourth proportional to 7,540.76, 10,406.31 and 4,183.79 is: 5,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.76 : 10,406.31 = 4,183.79 : x
  2. Step 2: Convert to fraction form
    7,540.76/10,406.31 = 4,183.79/x
  3. Step 3: Cross multiply
    7,540.76x = 10,406.31 × 4,183.79
  4. Step 4: Simplify right side
    7,540.76x = 43,537,815.71
  5. Step 5: Solve for x
    x = 43,537,815.71/7,540.76
  6. Step 6: Final answer
    x = 5,773.66

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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.