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Finding the Fourth Proportional to 11,085.72, 16,628.67 and 7,813.50

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Solution

The fourth proportional to 11,085.72, 16,628.67 and 7,813.50 is: 11,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,085.72 : 16,628.67 = 7,813.50 : x
  2. Step 2: Convert to fraction form
    11,085.72/16,628.67 = 7,813.50/x
  3. Step 3: Cross multiply
    11,085.72x = 16,628.67 × 7,813.50
  4. Step 4: Simplify right side
    11,085.72x = 129,928,113.05
  5. Step 5: Solve for x
    x = 129,928,113.05/11,085.72
  6. Step 6: Final answer
    x = 11,720.31

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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.