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Finding the Fourth Proportional to 7,694.89, 11,540.68 and 2,430.31

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Solution

The fourth proportional to 7,694.89, 11,540.68 and 2,430.31 is: 3,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.89 : 11,540.68 = 2,430.31 : x
  2. Step 2: Convert to fraction form
    7,694.89/11,540.68 = 2,430.31/x
  3. Step 3: Cross multiply
    7,694.89x = 11,540.68 × 2,430.31
  4. Step 4: Simplify right side
    7,694.89x = 28,047,417.86
  5. Step 5: Solve for x
    x = 28,047,417.86/7,694.89
  6. Step 6: Final answer
    x = 3,644.94

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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.