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Finding the Fourth Proportional to 11,000.08, 16,501.74 and 3,209.50

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Solution

The fourth proportional to 11,000.08, 16,501.74 and 3,209.50 is: 4,814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.08 : 16,501.74 = 3,209.50 : x
  2. Step 2: Convert to fraction form
    11,000.08/16,501.74 = 3,209.50/x
  3. Step 3: Cross multiply
    11,000.08x = 16,501.74 × 3,209.50
  4. Step 4: Simplify right side
    11,000.08x = 52,962,334.53
  5. Step 5: Solve for x
    x = 52,962,334.53/11,000.08
  6. Step 6: Final answer
    x = 4,814.72

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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.