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Finding the Fourth Proportional to 10,805.35, 16,201.54 and 4,223.70

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Solution

The fourth proportional to 10,805.35, 16,201.54 and 4,223.70 is: 6,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.35 : 16,201.54 = 4,223.70 : x
  2. Step 2: Convert to fraction form
    10,805.35/16,201.54 = 4,223.70/x
  3. Step 3: Cross multiply
    10,805.35x = 16,201.54 × 4,223.70
  4. Step 4: Simplify right side
    10,805.35x = 68,430,444.50
  5. Step 5: Solve for x
    x = 68,430,444.50/10,805.35
  6. Step 6: Final answer
    x = 6,333.02

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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.