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Finding the Fourth Proportional to 10,905.69, 16,333.93 and 5,050

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Solution

The fourth proportional to 10,905.69, 16,333.93 and 5,050 is: 7,563.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.69 : 16,333.93 = 5,050 : x
  2. Step 2: Convert to fraction form
    10,905.69/16,333.93 = 5,050/x
  3. Step 3: Cross multiply
    10,905.69x = 16,333.93 × 5,050
  4. Step 4: Simplify right side
    10,905.69x = 82,486,346.50
  5. Step 5: Solve for x
    x = 82,486,346.50/10,905.69
  6. Step 6: Final answer
    x = 7,563.61

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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.