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Finding the Fourth Proportional to 7,631.84, 11,451.05 and 4,121.15

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Solution

The fourth proportional to 7,631.84, 11,451.05 and 4,121.15 is: 6,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,631.84 : 11,451.05 = 4,121.15 : x
  2. Step 2: Convert to fraction form
    7,631.84/11,451.05 = 4,121.15/x
  3. Step 3: Cross multiply
    7,631.84x = 11,451.05 × 4,121.15
  4. Step 4: Simplify right side
    7,631.84x = 47,191,432.30
  5. Step 5: Solve for x
    x = 47,191,432.30/7,631.84
  6. Step 6: Final answer
    x = 6,183.50

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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.