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Finding the Fourth Proportional to 7,707.33, 11,563.59 and 2,443.20

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Solution

The fourth proportional to 7,707.33, 11,563.59 and 2,443.20 is: 3,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.33 : 11,563.59 = 2,443.20 : x
  2. Step 2: Convert to fraction form
    7,707.33/11,563.59 = 2,443.20/x
  3. Step 3: Cross multiply
    7,707.33x = 11,563.59 × 2,443.20
  4. Step 4: Simplify right side
    7,707.33x = 28,252,163.09
  5. Step 5: Solve for x
    x = 28,252,163.09/7,707.33
  6. Step 6: Final answer
    x = 3,665.62

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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.