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Finding the Fourth Proportional to 11,562.21, 17,346.02 and 3,771

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Solution

The fourth proportional to 11,562.21, 17,346.02 and 3,771 is: 5,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.21 : 17,346.02 = 3,771 : x
  2. Step 2: Convert to fraction form
    11,562.21/17,346.02 = 3,771/x
  3. Step 3: Cross multiply
    11,562.21x = 17,346.02 × 3,771
  4. Step 4: Simplify right side
    11,562.21x = 65,411,822.57
  5. Step 5: Solve for x
    x = 65,411,822.57/11,562.21
  6. Step 6: Final answer
    x = 5,657.38

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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.