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Finding the Fourth Proportional to 7,684.50, 11,524.18 and 3,003.30

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Solution

The fourth proportional to 7,684.50, 11,524.18 and 3,003.30 is: 4,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.50 : 11,524.18 = 3,003.30 : x
  2. Step 2: Convert to fraction form
    7,684.50/11,524.18 = 3,003.30/x
  3. Step 3: Cross multiply
    7,684.50x = 11,524.18 × 3,003.30
  4. Step 4: Simplify right side
    7,684.50x = 34,610,569.79
  5. Step 5: Solve for x
    x = 34,610,569.79/7,684.50
  6. Step 6: Final answer
    x = 4,503.95

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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.