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Finding the Fourth Proportional to 7,839.55, 11,761.22 and 4,509.93

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Solution

The fourth proportional to 7,839.55, 11,761.22 and 4,509.93 is: 6,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.55 : 11,761.22 = 4,509.93 : x
  2. Step 2: Convert to fraction form
    7,839.55/11,761.22 = 4,509.93/x
  3. Step 3: Cross multiply
    7,839.55x = 11,761.22 × 4,509.93
  4. Step 4: Simplify right side
    7,839.55x = 53,042,278.91
  5. Step 5: Solve for x
    x = 53,042,278.91/7,839.55
  6. Step 6: Final answer
    x = 6,765.99

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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.