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Finding the Fourth Proportional to 7,724.69, 11,576.90 and 4,394.47

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Solution

The fourth proportional to 7,724.69, 11,576.90 and 4,394.47 is: 6,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.69 : 11,576.90 = 4,394.47 : x
  2. Step 2: Convert to fraction form
    7,724.69/11,576.90 = 4,394.47/x
  3. Step 3: Cross multiply
    7,724.69x = 11,576.90 × 4,394.47
  4. Step 4: Simplify right side
    7,724.69x = 50,874,288.83
  5. Step 5: Solve for x
    x = 50,874,288.83/7,724.69
  6. Step 6: Final answer
    x = 6,585.93

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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.