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Finding the Fourth Proportional to 7,591.95, 11,389.11 and 3,209.43

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Solution

The fourth proportional to 7,591.95, 11,389.11 and 3,209.43 is: 4,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.95 : 11,389.11 = 3,209.43 : x
  2. Step 2: Convert to fraction form
    7,591.95/11,389.11 = 3,209.43/x
  3. Step 3: Cross multiply
    7,591.95x = 11,389.11 × 3,209.43
  4. Step 4: Simplify right side
    7,591.95x = 36,552,551.31
  5. Step 5: Solve for x
    x = 36,552,551.31/7,591.95
  6. Step 6: Final answer
    x = 4,814.65

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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.