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Finding the Fourth Proportional to 11,230.68, 16,856.44 and 5,687.94

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Solution

The fourth proportional to 11,230.68, 16,856.44 and 5,687.94 is: 8,537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.68 : 16,856.44 = 5,687.94 : x
  2. Step 2: Convert to fraction form
    11,230.68/16,856.44 = 5,687.94/x
  3. Step 3: Cross multiply
    11,230.68x = 16,856.44 × 5,687.94
  4. Step 4: Simplify right side
    11,230.68x = 95,878,405.11
  5. Step 5: Solve for x
    x = 95,878,405.11/11,230.68
  6. Step 6: Final answer
    x = 8,537.19

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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.