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Finding the Fourth Proportional to 11,966.92, 17,952.57 and 3,646

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Solution

The fourth proportional to 11,966.92, 17,952.57 and 3,646 is: 5,469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.92 : 17,952.57 = 3,646 : x
  2. Step 2: Convert to fraction form
    11,966.92/17,952.57 = 3,646/x
  3. Step 3: Cross multiply
    11,966.92x = 17,952.57 × 3,646
  4. Step 4: Simplify right side
    11,966.92x = 65,455,070.22
  5. Step 5: Solve for x
    x = 65,455,070.22/11,966.92
  6. Step 6: Final answer
    x = 5,469.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.