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Finding the Fourth Proportional to 7,591.51, 11,384.52 and 3,209.31

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Solution

The fourth proportional to 7,591.51, 11,384.52 and 3,209.31 is: 4,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.51 : 11,384.52 = 3,209.31 : x
  2. Step 2: Convert to fraction form
    7,591.51/11,384.52 = 3,209.31/x
  3. Step 3: Cross multiply
    7,591.51x = 11,384.52 × 3,209.31
  4. Step 4: Simplify right side
    7,591.51x = 36,536,441.85
  5. Step 5: Solve for x
    x = 36,536,441.85/7,591.51
  6. Step 6: Final answer
    x = 4,812.80

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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.