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Finding the Fourth Proportional to 11,782, 17,673 and 3,574

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Solution

The fourth proportional to 11,782, 17,673 and 3,574 is: 5,361

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782 : 17,673 = 3,574 : x
  2. Step 2: Convert to fraction form
    11,782/17,673 = 3,574/x
  3. Step 3: Cross multiply
    11,782x = 17,673 × 3,574
  4. Step 4: Simplify right side
    11,782x = 63,163,302
  5. Step 5: Solve for x
    x = 63,163,302/11,782
  6. Step 6: Final answer
    x = 5,361

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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.