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Finding the Fourth Proportional to 10,804, 16,206 and 2,596

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Solution

The fourth proportional to 10,804, 16,206 and 2,596 is: 3,894

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804 : 16,206 = 2,596 : x
  2. Step 2: Convert to fraction form
    10,804/16,206 = 2,596/x
  3. Step 3: Cross multiply
    10,804x = 16,206 × 2,596
  4. Step 4: Simplify right side
    10,804x = 42,070,776
  5. Step 5: Solve for x
    x = 42,070,776/10,804
  6. Step 6: Final answer
    x = 3,894

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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.