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Finding the Fourth Proportional to 7,083.52, 10,623.76 and 2,699.80

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Solution

The fourth proportional to 7,083.52, 10,623.76 and 2,699.80 is: 4,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.52 : 10,623.76 = 2,699.80 : x
  2. Step 2: Convert to fraction form
    7,083.52/10,623.76 = 2,699.80/x
  3. Step 3: Cross multiply
    7,083.52x = 10,623.76 × 2,699.80
  4. Step 4: Simplify right side
    7,083.52x = 28,682,027.25
  5. Step 5: Solve for x
    x = 28,682,027.25/7,083.52
  6. Step 6: Final answer
    x = 4,049.12

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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.