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Finding the Fourth Proportional to 11,887.22, 16,404.36 and 6,582.38

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Solution

The fourth proportional to 11,887.22, 16,404.36 and 6,582.38 is: 9,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.22 : 16,404.36 = 6,582.38 : x
  2. Step 2: Convert to fraction form
    11,887.22/16,404.36 = 6,582.38/x
  3. Step 3: Cross multiply
    11,887.22x = 16,404.36 × 6,582.38
  4. Step 4: Simplify right side
    11,887.22x = 107,979,649.16
  5. Step 5: Solve for x
    x = 107,979,649.16/11,887.22
  6. Step 6: Final answer
    x = 9,083.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.