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Finding the Fourth Proportional to 11,738, 17,607.10 and 2,972.92

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Solution

The fourth proportional to 11,738, 17,607.10 and 2,972.92 is: 4,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738 : 17,607.10 = 2,972.92 : x
  2. Step 2: Convert to fraction form
    11,738/17,607.10 = 2,972.92/x
  3. Step 3: Cross multiply
    11,738x = 17,607.10 × 2,972.92
  4. Step 4: Simplify right side
    11,738x = 52,344,499.73
  5. Step 5: Solve for x
    x = 52,344,499.73/11,738
  6. Step 6: Final answer
    x = 4,459.41

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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.