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Finding the Fourth Proportional to 7,765.01, 11,638.39 and 3,596.21

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Solution

The fourth proportional to 7,765.01, 11,638.39 and 3,596.21 is: 5,390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.01 : 11,638.39 = 3,596.21 : x
  2. Step 2: Convert to fraction form
    7,765.01/11,638.39 = 3,596.21/x
  3. Step 3: Cross multiply
    7,765.01x = 11,638.39 × 3,596.21
  4. Step 4: Simplify right side
    7,765.01x = 41,854,094.50
  5. Step 5: Solve for x
    x = 41,854,094.50/7,765.01
  6. Step 6: Final answer
    x = 5,390.09

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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.