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Finding the Fourth Proportional to 10,847, 16,268.70 and 3,054.08

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Solution

The fourth proportional to 10,847, 16,268.70 and 3,054.08 is: 4,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847 : 16,268.70 = 3,054.08 : x
  2. Step 2: Convert to fraction form
    10,847/16,268.70 = 3,054.08/x
  3. Step 3: Cross multiply
    10,847x = 16,268.70 × 3,054.08
  4. Step 4: Simplify right side
    10,847x = 49,685,911.30
  5. Step 5: Solve for x
    x = 49,685,911.30/10,847
  6. Step 6: Final answer
    x = 4,580.61

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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.