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Finding the Fourth Proportional to 7,441.84, 11,162.79 and 2,511.50

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Solution

The fourth proportional to 7,441.84, 11,162.79 and 2,511.50 is: 3,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.84 : 11,162.79 = 2,511.50 : x
  2. Step 2: Convert to fraction form
    7,441.84/11,162.79 = 2,511.50/x
  3. Step 3: Cross multiply
    7,441.84x = 11,162.79 × 2,511.50
  4. Step 4: Simplify right side
    7,441.84x = 28,035,347.09
  5. Step 5: Solve for x
    x = 28,035,347.09/7,441.84
  6. Step 6: Final answer
    x = 3,767.26

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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.