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Finding the Fourth Proportional to 10,900, 16,352.56 and 3,604

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Solution

The fourth proportional to 10,900, 16,352.56 and 3,604 is: 5,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900 : 16,352.56 = 3,604 : x
  2. Step 2: Convert to fraction form
    10,900/16,352.56 = 3,604/x
  3. Step 3: Cross multiply
    10,900x = 16,352.56 × 3,604
  4. Step 4: Simplify right side
    10,900x = 58,934,626.24
  5. Step 5: Solve for x
    x = 58,934,626.24/10,900
  6. Step 6: Final answer
    x = 5,406.85

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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.