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Finding the Fourth Proportional to 11,051.13, 16,563.52 and 5,119.74

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Solution

The fourth proportional to 11,051.13, 16,563.52 and 5,119.74 is: 7,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.13 : 16,563.52 = 5,119.74 : x
  2. Step 2: Convert to fraction form
    11,051.13/16,563.52 = 5,119.74/x
  3. Step 3: Cross multiply
    11,051.13x = 16,563.52 × 5,119.74
  4. Step 4: Simplify right side
    11,051.13x = 84,800,922.28
  5. Step 5: Solve for x
    x = 84,800,922.28/11,051.13
  6. Step 6: Final answer
    x = 7,673.50

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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.