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Finding the Fourth Proportional to 10,734.04, 16,101.10 and 4,489.67

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Solution

The fourth proportional to 10,734.04, 16,101.10 and 4,489.67 is: 6,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.04 : 16,101.10 = 4,489.67 : x
  2. Step 2: Convert to fraction form
    10,734.04/16,101.10 = 4,489.67/x
  3. Step 3: Cross multiply
    10,734.04x = 16,101.10 × 4,489.67
  4. Step 4: Simplify right side
    10,734.04x = 72,288,562.94
  5. Step 5: Solve for x
    x = 72,288,562.94/10,734.04
  6. Step 6: Final answer
    x = 6,734.52

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Why These Related Problems?

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