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Finding the Fourth Proportional to 10,874.68, 16,309.35 and 3,477.60

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Solution

The fourth proportional to 10,874.68, 16,309.35 and 3,477.60 is: 5,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.68 : 16,309.35 = 3,477.60 : x
  2. Step 2: Convert to fraction form
    10,874.68/16,309.35 = 3,477.60/x
  3. Step 3: Cross multiply
    10,874.68x = 16,309.35 × 3,477.60
  4. Step 4: Simplify right side
    10,874.68x = 56,717,469.76
  5. Step 5: Solve for x
    x = 56,717,469.76/10,874.68
  6. Step 6: Final answer
    x = 5,215.55

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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.