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Finding the Fourth Proportional to 7,854.53, 11,783.23 and 2,589.85

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Solution

The fourth proportional to 7,854.53, 11,783.23 and 2,589.85 is: 3,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.53 : 11,783.23 = 2,589.85 : x
  2. Step 2: Convert to fraction form
    7,854.53/11,783.23 = 2,589.85/x
  3. Step 3: Cross multiply
    7,854.53x = 11,783.23 × 2,589.85
  4. Step 4: Simplify right side
    7,854.53x = 30,516,739.30
  5. Step 5: Solve for x
    x = 30,516,739.30/7,854.53
  6. Step 6: Final answer
    x = 3,885.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.