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Finding the Fourth Proportional to 7,691.01, 11,529.69 and 3,740.10

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Solution

The fourth proportional to 7,691.01, 11,529.69 and 3,740.10 is: 5,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.01 : 11,529.69 = 3,740.10 : x
  2. Step 2: Convert to fraction form
    7,691.01/11,529.69 = 3,740.10/x
  3. Step 3: Cross multiply
    7,691.01x = 11,529.69 × 3,740.10
  4. Step 4: Simplify right side
    7,691.01x = 43,122,193.57
  5. Step 5: Solve for x
    x = 43,122,193.57/7,691.01
  6. Step 6: Final answer
    x = 5,606.83

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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.