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Finding the Fourth Proportional to 7,732.22, 11,594.39 and 5,509.76

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Solution

The fourth proportional to 7,732.22, 11,594.39 and 5,509.76 is: 8,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.22 : 11,594.39 = 5,509.76 : x
  2. Step 2: Convert to fraction form
    7,732.22/11,594.39 = 5,509.76/x
  3. Step 3: Cross multiply
    7,732.22x = 11,594.39 × 5,509.76
  4. Step 4: Simplify right side
    7,732.22x = 63,882,220.73
  5. Step 5: Solve for x
    x = 63,882,220.73/7,732.22
  6. Step 6: Final answer
    x = 8,261.83

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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.