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Finding the Fourth Proportional to 7,624.92, 11,439.54 and 3,243

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Solution

The fourth proportional to 7,624.92, 11,439.54 and 3,243 is: 4,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.92 : 11,439.54 = 3,243 : x
  2. Step 2: Convert to fraction form
    7,624.92/11,439.54 = 3,243/x
  3. Step 3: Cross multiply
    7,624.92x = 11,439.54 × 3,243
  4. Step 4: Simplify right side
    7,624.92x = 37,098,428.22
  5. Step 5: Solve for x
    x = 37,098,428.22/7,624.92
  6. Step 6: Final answer
    x = 4,865.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.