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Finding the Fourth Proportional to 7,584.03, 11,382.44 and 3,204.63

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Solution

The fourth proportional to 7,584.03, 11,382.44 and 3,204.63 is: 4,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.03 : 11,382.44 = 3,204.63 : x
  2. Step 2: Convert to fraction form
    7,584.03/11,382.44 = 3,204.63/x
  3. Step 3: Cross multiply
    7,584.03x = 11,382.44 × 3,204.63
  4. Step 4: Simplify right side
    7,584.03x = 36,476,492.67
  5. Step 5: Solve for x
    x = 36,476,492.67/7,584.03
  6. Step 6: Final answer
    x = 4,809.65

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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.