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Finding the Fourth Proportional to 7,568.03, 11,335.64 and 3,664.25

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Solution

The fourth proportional to 7,568.03, 11,335.64 and 3,664.25 is: 5,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.03 : 11,335.64 = 3,664.25 : x
  2. Step 2: Convert to fraction form
    7,568.03/11,335.64 = 3,664.25/x
  3. Step 3: Cross multiply
    7,568.03x = 11,335.64 × 3,664.25
  4. Step 4: Simplify right side
    7,568.03x = 41,536,600.55
  5. Step 5: Solve for x
    x = 41,536,600.55/7,568.03
  6. Step 6: Final answer
    x = 5,488.43

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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.