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Finding the Fourth Proportional to 7,594.50, 11,387 and 2,664.60

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Solution

The fourth proportional to 7,594.50, 11,387 and 2,664.60 is: 3,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.50 : 11,387 = 2,664.60 : x
  2. Step 2: Convert to fraction form
    7,594.50/11,387 = 2,664.60/x
  3. Step 3: Cross multiply
    7,594.50x = 11,387 × 2,664.60
  4. Step 4: Simplify right side
    7,594.50x = 30,341,800.20
  5. Step 5: Solve for x
    x = 30,341,800.20/7,594.50
  6. Step 6: Final answer
    x = 3,995.23

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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.