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Finding the Fourth Proportional to 10,847.54, 16,269.42 and 3,054.50

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Solution

The fourth proportional to 10,847.54, 16,269.42 and 3,054.50 is: 4,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.54 : 16,269.42 = 3,054.50 : x
  2. Step 2: Convert to fraction form
    10,847.54/16,269.42 = 3,054.50/x
  3. Step 3: Cross multiply
    10,847.54x = 16,269.42 × 3,054.50
  4. Step 4: Simplify right side
    10,847.54x = 49,694,943.39
  5. Step 5: Solve for x
    x = 49,694,943.39/10,847.54
  6. Step 6: Final answer
    x = 4,581.22

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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.